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Finding the Third Proportional to 44,764.31 and 96,535.13

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Solution

The third proportional to 44,764.31 and 96,535.13 is: 208,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,764.31 : 96,535.13 = 96,535.13 : x
  2. Step 2: Convert to fraction form
    44,764.31/96,535.13 = 96,535.13/x
  3. Step 3: Cross multiply
    44,764.31x = 96,535.13 × 96,535.13
  4. Step 4: Simplify right side
    44,764.31x = 9,319,030,358.77
  5. Step 5: Solve for x
    x = 9,319,030,358.77/44,764.31
  6. Step 6: Final answer
    x = 208,179.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.