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Finding the Third Proportional to 87,806 and 189,651.50

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Solution

The third proportional to 87,806 and 189,651.50 is: 409,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,806 : 189,651.50 = 189,651.50 : x
  2. Step 2: Convert to fraction form
    87,806/189,651.50 = 189,651.50/x
  3. Step 3: Cross multiply
    87,806x = 189,651.50 × 189,651.50
  4. Step 4: Simplify right side
    87,806x = 35,967,691,452.25
  5. Step 5: Solve for x
    x = 35,967,691,452.25/87,806
  6. Step 6: Final answer
    x = 409,626.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.