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Finding the Third Proportional to 87,780.50 and 207,090

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Solution

The third proportional to 87,780.50 and 207,090 is: 488,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,780.50 : 207,090 = 207,090 : x
  2. Step 2: Convert to fraction form
    87,780.50/207,090 = 207,090/x
  3. Step 3: Cross multiply
    87,780.50x = 207,090 × 207,090
  4. Step 4: Simplify right side
    87,780.50x = 42,886,268,100
  5. Step 5: Solve for x
    x = 42,886,268,100/87,780.50
  6. Step 6: Final answer
    x = 488,562.59

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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.