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Finding the Third Proportional to 102,096 and 220,626

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Solution

The third proportional to 102,096 and 220,626 is: 476,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096 : 220,626 = 220,626 : x
  2. Step 2: Convert to fraction form
    102,096/220,626 = 220,626/x
  3. Step 3: Cross multiply
    102,096x = 220,626 × 220,626
  4. Step 4: Simplify right side
    102,096x = 48,675,831,876
  5. Step 5: Solve for x
    x = 48,675,831,876/102,096
  6. Step 6: Final answer
    x = 476,765.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.