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The positive reals $x,y$ and $z$ satisfy the given equations:

$x^{2}+xy+\frac{y^{2}}{3}=25$

$z^{2}+\frac{y^{2}}{3}=9$

$z^{2}+zx+x^{2}=16$

Find the value of $(xy+2yz+3xz)^{2}$.

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