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Finding the Third Proportional to 95,987 and 209,443

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Solution

The third proportional to 95,987 and 209,443 is: 457,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,987 : 209,443 = 209,443 : x
  2. Step 2: Convert to fraction form
    95,987/209,443 = 209,443/x
  3. Step 3: Cross multiply
    95,987x = 209,443 × 209,443
  4. Step 4: Simplify right side
    95,987x = 43,866,370,249
  5. Step 5: Solve for x
    x = 43,866,370,249/95,987
  6. Step 6: Final answer
    x = 457,003.24

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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.