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Finding the Third Proportional to 96,769 and 206,660

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Solution

The third proportional to 96,769 and 206,660 is: 441,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,769 : 206,660 = 206,660 : x
  2. Step 2: Convert to fraction form
    96,769/206,660 = 206,660/x
  3. Step 3: Cross multiply
    96,769x = 206,660 × 206,660
  4. Step 4: Simplify right side
    96,769x = 42,708,355,600
  5. Step 5: Solve for x
    x = 42,708,355,600/96,769
  6. Step 6: Final answer
    x = 441,343.36

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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.