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Finding the Third Proportional to 179,792,665 and 394,581,082

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Solution

The third proportional to 179,792,665 and 394,581,082 is: 865,965,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,792,665 : 394,581,082 = 394,581,082 : x
  2. Step 2: Convert to fraction form
    179,792,665/394,581,082 = 394,581,082/x
  3. Step 3: Cross multiply
    179,792,665x = 394,581,082 × 394,581,082
  4. Step 4: Simplify right side
    179,792,665x = 155,694,230,272,290,720
  5. Step 5: Solve for x
    x = 155,694,230,272,290,720/179,792,665
  6. Step 6: Final answer
    x = 865,965,417.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.