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Finding the Third Proportional to 95,197.50 and 209,080.13

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Solution

The third proportional to 95,197.50 and 209,080.13 is: 459,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,197.50 : 209,080.13 = 209,080.13 : x
  2. Step 2: Convert to fraction form
    95,197.50/209,080.13 = 209,080.13/x
  3. Step 3: Cross multiply
    95,197.50x = 209,080.13 × 209,080.13
  4. Step 4: Simplify right side
    95,197.50x = 43,714,498,670.02
  5. Step 5: Solve for x
    x = 43,714,498,670.02/95,197.50
  6. Step 6: Final answer
    x = 459,197.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.