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Finding the Third Proportional to 40,662 and 88,198

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Solution

The third proportional to 40,662 and 88,198 is: 191,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,662 : 88,198 = 88,198 : x
  2. Step 2: Convert to fraction form
    40,662/88,198 = 88,198/x
  3. Step 3: Cross multiply
    40,662x = 88,198 × 88,198
  4. Step 4: Simplify right side
    40,662x = 7,778,887,204
  5. Step 5: Solve for x
    x = 7,778,887,204/40,662
  6. Step 6: Final answer
    x = 191,306.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.