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Finding the Third Proportional to 152,074,672.88 and 312,211,207.13

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Solution

The third proportional to 152,074,672.88 and 312,211,207.13 is: 640,973,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,672.88 : 312,211,207.13 = 312,211,207.13 : x
  2. Step 2: Convert to fraction form
    152,074,672.88/312,211,207.13 = 312,211,207.13/x
  3. Step 3: Cross multiply
    152,074,672.88x = 312,211,207.13 × 312,211,207.13
  4. Step 4: Simplify right side
    152,074,672.88x = 97,475,837,854,449,648
  5. Step 5: Solve for x
    x = 97,475,837,854,449,648/152,074,672.88
  6. Step 6: Final answer
    x = 640,973,516.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.