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Finding the Third Proportional to 96,626 and 206,520

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Solution

The third proportional to 96,626 and 206,520 is: 441,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,626 : 206,520 = 206,520 : x
  2. Step 2: Convert to fraction form
    96,626/206,520 = 206,520/x
  3. Step 3: Cross multiply
    96,626x = 206,520 × 206,520
  4. Step 4: Simplify right side
    96,626x = 42,650,510,400
  5. Step 5: Solve for x
    x = 42,650,510,400/96,626
  6. Step 6: Final answer
    x = 441,397.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.