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I suppose it is the force of gravity between two objects.  Newton's gravitational force.

F = G M m / d²
So force is inversely proportional to distance².
   F2 / F1 = d1² / d2²
   d2² / d1² =  F1 / F2
                 = 100 / 50  = 2 
   d2 = √2 * d1

So the distance is increased to √2 times its previous distance to have the gravitational force reduced to half.

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