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Finding the Third Proportional to 96,562.13 and 195,751.69

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Solution

The third proportional to 96,562.13 and 195,751.69 is: 396,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,562.13 : 195,751.69 = 195,751.69 : x
  2. Step 2: Convert to fraction form
    96,562.13/195,751.69 = 195,751.69/x
  3. Step 3: Cross multiply
    96,562.13x = 195,751.69 × 195,751.69
  4. Step 4: Simplify right side
    96,562.13x = 38,318,723,159.10
  5. Step 5: Solve for x
    x = 38,318,723,159.10/96,562.13
  6. Step 6: Final answer
    x = 396,829.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.