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Finding the Third Proportional to 105,727.13 and 227,958.75

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Solution

The third proportional to 105,727.13 and 227,958.75 is: 491,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,727.13 : 227,958.75 = 227,958.75 : x
  2. Step 2: Convert to fraction form
    105,727.13/227,958.75 = 227,958.75/x
  3. Step 3: Cross multiply
    105,727.13x = 227,958.75 × 227,958.75
  4. Step 4: Simplify right side
    105,727.13x = 51,965,191,701.56
  5. Step 5: Solve for x
    x = 51,965,191,701.56/105,727.13
  6. Step 6: Final answer
    x = 491,502.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.