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Finding the Third Proportional to 96,909 and 207,831

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Solution

The third proportional to 96,909 and 207,831 is: 445,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,909 : 207,831 = 207,831 : x
  2. Step 2: Convert to fraction form
    96,909/207,831 = 207,831/x
  3. Step 3: Cross multiply
    96,909x = 207,831 × 207,831
  4. Step 4: Simplify right side
    96,909x = 43,193,724,561
  5. Step 5: Solve for x
    x = 43,193,724,561/96,909
  6. Step 6: Final answer
    x = 445,714.27

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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.