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Finding the Third Proportional to 96,774 and 206,670

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Solution

The third proportional to 96,774 and 206,670 is: 441,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,774 : 206,670 = 206,670 : x
  2. Step 2: Convert to fraction form
    96,774/206,670 = 206,670/x
  3. Step 3: Cross multiply
    96,774x = 206,670 × 206,670
  4. Step 4: Simplify right side
    96,774x = 42,712,488,900
  5. Step 5: Solve for x
    x = 42,712,488,900/96,774
  6. Step 6: Final answer
    x = 441,363.27

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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.