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Finding the Third Proportional to 95,185.13 and 204,724.13

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Solution

The third proportional to 95,185.13 and 204,724.13 is: 440,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,185.13 : 204,724.13 = 204,724.13 : x
  2. Step 2: Convert to fraction form
    95,185.13/204,724.13 = 204,724.13/x
  3. Step 3: Cross multiply
    95,185.13x = 204,724.13 × 204,724.13
  4. Step 4: Simplify right side
    95,185.13x = 41,911,967,357.02
  5. Step 5: Solve for x
    x = 41,911,967,357.02/95,185.13
  6. Step 6: Final answer
    x = 440,320.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.