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Finding the Third Proportional to 95,674.50 and 209,493

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Solution

The third proportional to 95,674.50 and 209,493 is: 458,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,674.50 : 209,493 = 209,493 : x
  2. Step 2: Convert to fraction form
    95,674.50/209,493 = 209,493/x
  3. Step 3: Cross multiply
    95,674.50x = 209,493 × 209,493
  4. Step 4: Simplify right side
    95,674.50x = 43,887,317,049
  5. Step 5: Solve for x
    x = 43,887,317,049/95,674.50
  6. Step 6: Final answer
    x = 458,714.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.