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Finding the Third Proportional to 41,608.13 and 90,991.13

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Solution

The third proportional to 41,608.13 and 90,991.13 is: 198,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,608.13 : 90,991.13 = 90,991.13 : x
  2. Step 2: Convert to fraction form
    41,608.13/90,991.13 = 90,991.13/x
  3. Step 3: Cross multiply
    41,608.13x = 90,991.13 × 90,991.13
  4. Step 4: Simplify right side
    41,608.13x = 8,279,384,828.77
  5. Step 5: Solve for x
    x = 8,279,384,828.77/41,608.13
  6. Step 6: Final answer
    x = 198,984.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.