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Finding the Third Proportional to 102,472,508 and 223,139,448

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Solution

The third proportional to 102,472,508 and 223,139,448 is: 485,898,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,508 : 223,139,448 = 223,139,448 : x
  2. Step 2: Convert to fraction form
    102,472,508/223,139,448 = 223,139,448/x
  3. Step 3: Cross multiply
    102,472,508x = 223,139,448 × 223,139,448
  4. Step 4: Simplify right side
    102,472,508x = 49,791,213,253,744,704
  5. Step 5: Solve for x
    x = 49,791,213,253,744,704/102,472,508
  6. Step 6: Final answer
    x = 485,898,259.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.