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Trott, who came to the crease with England 13 for one on Thursday, batted for more than nine hours in his team’s first innings total of 446.
His partnership with Broad (169) yielded 332 runs, breaking the previous mark of 313 set by Pakistan’s Wasim Akram and Saqlain Mushtaq against Zimbabwe in 1996.
Broad had joined Trott at the crease with England, who need a draw to win the series, in deep trouble at 102 for seven.
The stand, which began shortly after lunch on Friday, was broken 15 minutes before Saturday’s lunch interval when Broad was dismissed lbw to off-spinner Saeed Ajmal for 169.
Ajmal struck again in the first over after the interval when James Anderson (6) edged a catch to Yasir Hameed at slip and Trott was caught behind in the next over to give Wahab Riaz his first wicket of the match.
Trott, who scored 226 in the Lord’s test against Bangladesh this year, took a single off the first ball he faced on Saturday to reach 150.
Mohammad Amir was unable to repeat his heroics of Friday when he took six wickets to become the youngest bowler to reach 50 test wickets.
After 45 minutes he was replaced at the Pavilion end by Mohammad Asif, who was driven gloriously for two fours in an over by Broad to reach his 150 with 14 boundaries and a six.
The world record fell when Broad crashed Wahab Riaz for another four through the covers, a mark greeted with prolonged applause by a capacity crowd basking in the sunshine.
Trott joined in the fun by gliding off-spinner Saeed Ajmal through mid-wicket for a beautifully timed four.
The stand finally ended when Broad was hit on the pads attempting a sweep. He was initially given not out by Billy Bowden, who was over-ruled for the third time in the innings by third umpire Steve Davis after Pakistan appealed.
Broad had batted for 6-1/2 hours with 18 fours and a six in a high class innings which has transformed the match. Trott, in an epic knock of unwavering concentration, struck 19 boundaries.
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