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Finding the Third Proportional to 95,976 and 209,421

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Solution

The third proportional to 95,976 and 209,421 is: 456,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,976 : 209,421 = 209,421 : x
  2. Step 2: Convert to fraction form
    95,976/209,421 = 209,421/x
  3. Step 3: Cross multiply
    95,976x = 209,421 × 209,421
  4. Step 4: Simplify right side
    95,976x = 43,857,155,241
  5. Step 5: Solve for x
    x = 43,857,155,241/95,976
  6. Step 6: Final answer
    x = 456,959.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.