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Finding the Third Proportional to 99,433,942 and 234,393,448

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Solution

The third proportional to 99,433,942 and 234,393,448 is: 552,530,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,433,942 : 234,393,448 = 234,393,448 : x
  2. Step 2: Convert to fraction form
    99,433,942/234,393,448 = 234,393,448/x
  3. Step 3: Cross multiply
    99,433,942x = 234,393,448 × 234,393,448
  4. Step 4: Simplify right side
    99,433,942x = 54,940,288,465,328,704
  5. Step 5: Solve for x
    x = 54,940,288,465,328,704/99,433,942
  6. Step 6: Final answer
    x = 552,530,527.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.