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Finding the Third Proportional to 41,077.13 and 89,191.13

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Solution

The third proportional to 41,077.13 and 89,191.13 is: 193,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,077.13 : 89,191.13 = 89,191.13 : x
  2. Step 2: Convert to fraction form
    41,077.13/89,191.13 = 89,191.13/x
  3. Step 3: Cross multiply
    41,077.13x = 89,191.13 × 89,191.13
  4. Step 4: Simplify right side
    41,077.13x = 7,955,056,778.77
  5. Step 5: Solve for x
    x = 7,955,056,778.77/41,077.13
  6. Step 6: Final answer
    x = 193,661.48

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Why These Related Problems?

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