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Finding the Third Proportional to 95,985.50 and 209,467

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Solution

The third proportional to 95,985.50 and 209,467 is: 457,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,985.50 : 209,467 = 209,467 : x
  2. Step 2: Convert to fraction form
    95,985.50/209,467 = 209,467/x
  3. Step 3: Cross multiply
    95,985.50x = 209,467 × 209,467
  4. Step 4: Simplify right side
    95,985.50x = 43,876,424,089
  5. Step 5: Solve for x
    x = 43,876,424,089/95,985.50
  6. Step 6: Final answer
    x = 457,115.13

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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.