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Finding the Third Proportional to 95,194.20 and 209,073.02

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Solution

The third proportional to 95,194.20 and 209,073.02 is: 459,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,194.20 : 209,073.02 = 209,073.02 : x
  2. Step 2: Convert to fraction form
    95,194.20/209,073.02 = 209,073.02/x
  3. Step 3: Cross multiply
    95,194.20x = 209,073.02 × 209,073.02
  4. Step 4: Simplify right side
    95,194.20x = 43,711,529,129.30
  5. Step 5: Solve for x
    x = 43,711,529,129.30/95,194.20
  6. Step 6: Final answer
    x = 459,182.72

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