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Finding the Third Proportional to 95,464 and 206,660

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Solution

The third proportional to 95,464 and 206,660 is: 447,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,464 : 206,660 = 206,660 : x
  2. Step 2: Convert to fraction form
    95,464/206,660 = 206,660/x
  3. Step 3: Cross multiply
    95,464x = 206,660 × 206,660
  4. Step 4: Simplify right side
    95,464x = 42,708,355,600
  5. Step 5: Solve for x
    x = 42,708,355,600/95,464
  6. Step 6: Final answer
    x = 447,376.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.