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Finding the Third Proportional to 96,879.38 and 141,490.97

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Solution

The third proportional to 96,879.38 and 141,490.97 is: 206,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,879.38 : 141,490.97 = 141,490.97 : x
  2. Step 2: Convert to fraction form
    96,879.38/141,490.97 = 141,490.97/x
  3. Step 3: Cross multiply
    96,879.38x = 141,490.97 × 141,490.97
  4. Step 4: Simplify right side
    96,879.38x = 20,019,694,237.81
  5. Step 5: Solve for x
    x = 20,019,694,237.81/96,879.38
  6. Step 6: Final answer
    x = 206,645.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.