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Finding the Third Proportional to 87,816.75 and 207,234.19

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Solution

The third proportional to 87,816.75 and 207,234.19 is: 489,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,816.75 : 207,234.19 = 207,234.19 : x
  2. Step 2: Convert to fraction form
    87,816.75/207,234.19 = 207,234.19/x
  3. Step 3: Cross multiply
    87,816.75x = 207,234.19 × 207,234.19
  4. Step 4: Simplify right side
    87,816.75x = 42,946,008,468.79
  5. Step 5: Solve for x
    x = 42,946,008,468.79/87,816.75
  6. Step 6: Final answer
    x = 489,041.20

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Why These Related Problems?

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