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Finding the Third Proportional to 100,882.50 and 221,357

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Solution

The third proportional to 100,882.50 and 221,357 is: 485,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,882.50 : 221,357 = 221,357 : x
  2. Step 2: Convert to fraction form
    100,882.50/221,357 = 221,357/x
  3. Step 3: Cross multiply
    100,882.50x = 221,357 × 221,357
  4. Step 4: Simplify right side
    100,882.50x = 48,998,921,449
  5. Step 5: Solve for x
    x = 48,998,921,449/100,882.50
  6. Step 6: Final answer
    x = 485,702.89

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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.