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Finding the Third Proportional to 100,882.13 and 221,355

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Solution

The third proportional to 100,882.13 and 221,355 is: 485,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,882.13 : 221,355 = 221,355 : x
  2. Step 2: Convert to fraction form
    100,882.13/221,355 = 221,355/x
  3. Step 3: Cross multiply
    100,882.13x = 221,355 × 221,355
  4. Step 4: Simplify right side
    100,882.13x = 48,998,036,025
  5. Step 5: Solve for x
    x = 48,998,036,025/100,882.13
  6. Step 6: Final answer
    x = 485,695.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.