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Finding the Third Proportional to 41,760.56 and 89,983.13

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Solution

The third proportional to 41,760.56 and 89,983.13 is: 193,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,760.56 : 89,983.13 = 89,983.13 : x
  2. Step 2: Convert to fraction form
    41,760.56/89,983.13 = 89,983.13/x
  3. Step 3: Cross multiply
    41,760.56x = 89,983.13 × 89,983.13
  4. Step 4: Simplify right side
    41,760.56x = 8,096,962,784.77
  5. Step 5: Solve for x
    x = 8,096,962,784.77/41,760.56
  6. Step 6: Final answer
    x = 193,890.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.