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Finding the Third Proportional to 89,055 and 187,331.50

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Solution

The third proportional to 89,055 and 187,331.50 is: 394,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,055 : 187,331.50 = 187,331.50 : x
  2. Step 2: Convert to fraction form
    89,055/187,331.50 = 187,331.50/x
  3. Step 3: Cross multiply
    89,055x = 187,331.50 × 187,331.50
  4. Step 4: Simplify right side
    89,055x = 35,093,090,892.25
  5. Step 5: Solve for x
    x = 35,093,090,892.25/89,055
  6. Step 6: Final answer
    x = 394,060.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.