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Finding the Third Proportional to 202,940,856 and 313,737,624

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Solution

The third proportional to 202,940,856 and 313,737,624 is: 485,024,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,940,856 : 313,737,624 = 313,737,624 : x
  2. Step 2: Convert to fraction form
    202,940,856/313,737,624 = 313,737,624/x
  3. Step 3: Cross multiply
    202,940,856x = 313,737,624 × 313,737,624
  4. Step 4: Simplify right side
    202,940,856x = 98,431,296,713,165,376
  5. Step 5: Solve for x
    x = 98,431,296,713,165,376/202,940,856
  6. Step 6: Final answer
    x = 485,024,546.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.