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Finding the Third Proportional to 71,024,148 and 165,944,448

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Solution

The third proportional to 71,024,148 and 165,944,448 is: 387,721,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024,148 : 165,944,448 = 165,944,448 : x
  2. Step 2: Convert to fraction form
    71,024,148/165,944,448 = 165,944,448/x
  3. Step 3: Cross multiply
    71,024,148x = 165,944,448 × 165,944,448
  4. Step 4: Simplify right side
    71,024,148x = 27,537,559,822,024,704
  5. Step 5: Solve for x
    x = 27,537,559,822,024,704/71,024,148
  6. Step 6: Final answer
    x = 387,721,086.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.