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Finding the Third Proportional to 131,050,089 and 284,376,147

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Solution

The third proportional to 131,050,089 and 284,376,147 is: 617,090,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,050,089 : 284,376,147 = 284,376,147 : x
  2. Step 2: Convert to fraction form
    131,050,089/284,376,147 = 284,376,147/x
  3. Step 3: Cross multiply
    131,050,089x = 284,376,147 × 284,376,147
  4. Step 4: Simplify right side
    131,050,089x = 80,869,792,982,565,616
  5. Step 5: Solve for x
    x = 80,869,792,982,565,616/131,050,089
  6. Step 6: Final answer
    x = 617,090,713.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.