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Finding the Third Proportional to 44,008.31 and 96,081.19

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Solution

The third proportional to 44,008.31 and 96,081.19 is: 209,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,008.31 : 96,081.19 = 96,081.19 : x
  2. Step 2: Convert to fraction form
    44,008.31/96,081.19 = 96,081.19/x
  3. Step 3: Cross multiply
    44,008.31x = 96,081.19 × 96,081.19
  4. Step 4: Simplify right side
    44,008.31x = 9,231,594,591.41
  5. Step 5: Solve for x
    x = 9,231,594,591.41/44,008.31
  6. Step 6: Final answer
    x = 209,769.34

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Why These Related Problems?

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