# Constant Distance Ratio Sphere

Geometry Level 5

Two points $A$ and $B$ in 3-dimensional space have the following coordinates: $A= (2, 1, 3), B= (10, 10, 15).$ The locus of all the points $P=(x, y, z)$ that have the property that $\frac{ PA}{PB} = 2$ is a sphere.

Find its radius to 2 decimal places.

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