# Side Intercept

Geometry Level 4

In the triangle $$ABC$$, point $$D$$ is the midpoint of $$AB$$. Point $$E$$ is on side $$AC$$, such that $$BE$$ intersects $$CD$$ at point $$F$$, with $$| DF | = 2 | FC|$$. What is the ratio $$\dfrac{|CE|}{|AC|}$$ ?

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