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Finding the Third Proportional to 105,727.75 and 227,959.75

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Solution

The third proportional to 105,727.75 and 227,959.75 is: 491,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,727.75 : 227,959.75 = 227,959.75 : x
  2. Step 2: Convert to fraction form
    105,727.75/227,959.75 = 227,959.75/x
  3. Step 3: Cross multiply
    105,727.75x = 227,959.75 × 227,959.75
  4. Step 4: Simplify right side
    105,727.75x = 51,965,647,620.06
  5. Step 5: Solve for x
    x = 51,965,647,620.06/105,727.75
  6. Step 6: Final answer
    x = 491,504.34

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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.