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Finding the Third Proportional to 87,369 and 186,184.50

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Solution

The third proportional to 87,369 and 186,184.50 is: 396,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,369 : 186,184.50 = 186,184.50 : x
  2. Step 2: Convert to fraction form
    87,369/186,184.50 = 186,184.50/x
  3. Step 3: Cross multiply
    87,369x = 186,184.50 × 186,184.50
  4. Step 4: Simplify right side
    87,369x = 34,664,668,040.25
  5. Step 5: Solve for x
    x = 34,664,668,040.25/87,369
  6. Step 6: Final answer
    x = 396,761.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.