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Finding the Third Proportional to 88,642.27 and 204,998.13

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Solution

The third proportional to 88,642.27 and 204,998.13 is: 474,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,642.27 : 204,998.13 = 204,998.13 : x
  2. Step 2: Convert to fraction form
    88,642.27/204,998.13 = 204,998.13/x
  3. Step 3: Cross multiply
    88,642.27x = 204,998.13 × 204,998.13
  4. Step 4: Simplify right side
    88,642.27x = 42,024,234,456.61
  5. Step 5: Solve for x
    x = 42,024,234,456.61/88,642.27
  6. Step 6: Final answer
    x = 474,088.00

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.