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Finding the Third Proportional to 101,808 and 221,040

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Solution

The third proportional to 101,808 and 221,040 is: 479,910.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,808 : 221,040 = 221,040 : x
  2. Step 2: Convert to fraction form
    101,808/221,040 = 221,040/x
  3. Step 3: Cross multiply
    101,808x = 221,040 × 221,040
  4. Step 4: Simplify right side
    101,808x = 48,858,681,600
  5. Step 5: Solve for x
    x = 48,858,681,600/101,808
  6. Step 6: Final answer
    x = 479,910.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.