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Finding the Third Proportional to 107,722 and 230,108

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Solution

The third proportional to 107,722 and 230,108 is: 491,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,722 : 230,108 = 230,108 : x
  2. Step 2: Convert to fraction form
    107,722/230,108 = 230,108/x
  3. Step 3: Cross multiply
    107,722x = 230,108 × 230,108
  4. Step 4: Simplify right side
    107,722x = 52,949,691,664
  5. Step 5: Solve for x
    x = 52,949,691,664/107,722
  6. Step 6: Final answer
    x = 491,540.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.