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Finding the Third Proportional to 101,986 and 220,923

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Solution

The third proportional to 101,986 and 220,923 is: 478,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,986 : 220,923 = 220,923 : x
  2. Step 2: Convert to fraction form
    101,986/220,923 = 220,923/x
  3. Step 3: Cross multiply
    101,986x = 220,923 × 220,923
  4. Step 4: Simplify right side
    101,986x = 48,806,971,929
  5. Step 5: Solve for x
    x = 48,806,971,929/101,986
  6. Step 6: Final answer
    x = 478,565.41

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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.