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Finding the Third Proportional to 87,880.50 and 207,366.75

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Solution

The third proportional to 87,880.50 and 207,366.75 is: 489,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,880.50 : 207,366.75 = 207,366.75 : x
  2. Step 2: Convert to fraction form
    87,880.50/207,366.75 = 207,366.75/x
  3. Step 3: Cross multiply
    87,880.50x = 207,366.75 × 207,366.75
  4. Step 4: Simplify right side
    87,880.50x = 43,000,969,005.56
  5. Step 5: Solve for x
    x = 43,000,969,005.56/87,880.50
  6. Step 6: Final answer
    x = 489,311.84

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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.