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Finding the Third Proportional to 103,944 and 220,157.25

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Solution

The third proportional to 103,944 and 220,157.25 is: 466,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,944 : 220,157.25 = 220,157.25 : x
  2. Step 2: Convert to fraction form
    103,944/220,157.25 = 220,157.25/x
  3. Step 3: Cross multiply
    103,944x = 220,157.25 × 220,157.25
  4. Step 4: Simplify right side
    103,944x = 48,469,214,727.56
  5. Step 5: Solve for x
    x = 48,469,214,727.56/103,944
  6. Step 6: Final answer
    x = 466,301.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.