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Finding the Third Proportional to 87,817.50 and 207,231.75

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Solution

The third proportional to 87,817.50 and 207,231.75 is: 489,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,817.50 : 207,231.75 = 207,231.75 : x
  2. Step 2: Convert to fraction form
    87,817.50/207,231.75 = 207,231.75/x
  3. Step 3: Cross multiply
    87,817.50x = 207,231.75 × 207,231.75
  4. Step 4: Simplify right side
    87,817.50x = 42,944,998,208.06
  5. Step 5: Solve for x
    x = 42,944,998,208.06/87,817.50
  6. Step 6: Final answer
    x = 489,025.52

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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.