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Finding the Third Proportional to 87,792 and 188,907

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Solution

The third proportional to 87,792 and 188,907 is: 406,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,792 : 188,907 = 188,907 : x
  2. Step 2: Convert to fraction form
    87,792/188,907 = 188,907/x
  3. Step 3: Cross multiply
    87,792x = 188,907 × 188,907
  4. Step 4: Simplify right side
    87,792x = 35,685,854,649
  5. Step 5: Solve for x
    x = 35,685,854,649/87,792
  6. Step 6: Final answer
    x = 406,481.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.