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Finding the Third Proportional to 41,178.38 and 89,908.73

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Solution

The third proportional to 41,178.38 and 89,908.73 is: 196,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,178.38 : 89,908.73 = 89,908.73 : x
  2. Step 2: Convert to fraction form
    41,178.38/89,908.73 = 89,908.73/x
  3. Step 3: Cross multiply
    41,178.38x = 89,908.73 × 89,908.73
  4. Step 4: Simplify right side
    41,178.38x = 8,083,580,516.91
  5. Step 5: Solve for x
    x = 8,083,580,516.91/41,178.38
  6. Step 6: Final answer
    x = 196,306.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.