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Given, two numbers 107 and 108 we need to find out the numbers lie between the squares of the given numbers.

Now, we have numbers lie between the square of n and (n + 1) as 2n i.e 2 × base of first number.

⇒ Numbers between squares of 107 and (107 + 1) = 2 × 107

⇒ 214

Hence, 214 numbers lies between the square of the given numbers.