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Answer with Explanation:

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 = (5 x 3/5) : (8 x 3/5) = 3 : 24/5 

=> A : B : C = 2 : 3 : 24/5 = 10 : 15 : 24 

=> B = (98 x 15/49) = 30.
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