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Finding the Third Proportional to 105,727.78 and 223,246.13

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Solution

The third proportional to 105,727.78 and 223,246.13 is: 471,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,727.78 : 223,246.13 = 223,246.13 : x
  2. Step 2: Convert to fraction form
    105,727.78/223,246.13 = 223,246.13/x
  3. Step 3: Cross multiply
    105,727.78x = 223,246.13 × 223,246.13
  4. Step 4: Simplify right side
    105,727.78x = 49,838,832,327.52
  5. Step 5: Solve for x
    x = 49,838,832,327.52/105,727.78
  6. Step 6: Final answer
    x = 471,388.24

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.