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Finding the Third Proportional to 87,952.50 and 207,417.38

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Solution

The third proportional to 87,952.50 and 207,417.38 is: 489,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,952.50 : 207,417.38 = 207,417.38 : x
  2. Step 2: Convert to fraction form
    87,952.50/207,417.38 = 207,417.38/x
  3. Step 3: Cross multiply
    87,952.50x = 207,417.38 × 207,417.38
  4. Step 4: Simplify right side
    87,952.50x = 43,021,967,451.89
  5. Step 5: Solve for x
    x = 43,021,967,451.89/87,952.50
  6. Step 6: Final answer
    x = 489,150.02

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