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Finding the Third Proportional to 95,198.25 and 209,081.25

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Solution

The third proportional to 95,198.25 and 209,081.25 is: 459,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,198.25 : 209,081.25 = 209,081.25 : x
  2. Step 2: Convert to fraction form
    95,198.25/209,081.25 = 209,081.25/x
  3. Step 3: Cross multiply
    95,198.25x = 209,081.25 × 209,081.25
  4. Step 4: Simplify right side
    95,198.25x = 43,714,969,101.56
  5. Step 5: Solve for x
    x = 43,714,969,101.56/95,198.25
  6. Step 6: Final answer
    x = 459,199.29

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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.