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Finding the Third Proportional to 101,557.78 and 220,064.81

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Solution

The third proportional to 101,557.78 and 220,064.81 is: 476,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,557.78 : 220,064.81 = 220,064.81 : x
  2. Step 2: Convert to fraction form
    101,557.78/220,064.81 = 220,064.81/x
  3. Step 3: Cross multiply
    101,557.78x = 220,064.81 × 220,064.81
  4. Step 4: Simplify right side
    101,557.78x = 48,428,521,700.66
  5. Step 5: Solve for x
    x = 48,428,521,700.66/101,557.78
  6. Step 6: Final answer
    x = 476,856.83

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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.