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Finding the Third Proportional to 96,626.25 and 207,542.25

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Solution

The third proportional to 96,626.25 and 207,542.25 is: 445,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,626.25 : 207,542.25 = 207,542.25 : x
  2. Step 2: Convert to fraction form
    96,626.25/207,542.25 = 207,542.25/x
  3. Step 3: Cross multiply
    96,626.25x = 207,542.25 × 207,542.25
  4. Step 4: Simplify right side
    96,626.25x = 43,073,785,535.06
  5. Step 5: Solve for x
    x = 43,073,785,535.06/96,626.25
  6. Step 6: Final answer
    x = 445,777.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.