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Finding the Third Proportional to 101,193 and 220,608

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Solution

The third proportional to 101,193 and 220,608 is: 480,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,193 : 220,608 = 220,608 : x
  2. Step 2: Convert to fraction form
    101,193/220,608 = 220,608/x
  3. Step 3: Cross multiply
    101,193x = 220,608 × 220,608
  4. Step 4: Simplify right side
    101,193x = 48,667,889,664
  5. Step 5: Solve for x
    x = 48,667,889,664/101,193
  6. Step 6: Final answer
    x = 480,941.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.