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Finding the Third Proportional to 40,771.13 and 89,818.88

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Solution

The third proportional to 40,771.13 and 89,818.88 is: 197,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,771.13 : 89,818.88 = 89,818.88 : x
  2. Step 2: Convert to fraction form
    40,771.13/89,818.88 = 89,818.88/x
  3. Step 3: Cross multiply
    40,771.13x = 89,818.88 × 89,818.88
  4. Step 4: Simplify right side
    40,771.13x = 8,067,430,306.27
  5. Step 5: Solve for x
    x = 8,067,430,306.27/40,771.13
  6. Step 6: Final answer
    x = 197,871.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.