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Finding the Third Proportional to 106,832.04 and 227,963.43

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Solution

The third proportional to 106,832.04 and 227,963.43 is: 486,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,832.04 : 227,963.43 = 227,963.43 : x
  2. Step 2: Convert to fraction form
    106,832.04/227,963.43 = 227,963.43/x
  3. Step 3: Cross multiply
    106,832.04x = 227,963.43 × 227,963.43
  4. Step 4: Simplify right side
    106,832.04x = 51,967,323,493.92
  5. Step 5: Solve for x
    x = 51,967,323,493.92/106,832.04
  6. Step 6: Final answer
    x = 486,439.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.