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Finding the Third Proportional to 107,720 and 230,103

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Solution

The third proportional to 107,720 and 230,103 is: 491,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,720 : 230,103 = 230,103 : x
  2. Step 2: Convert to fraction form
    107,720/230,103 = 230,103/x
  3. Step 3: Cross multiply
    107,720x = 230,103 × 230,103
  4. Step 4: Simplify right side
    107,720x = 52,947,390,609
  5. Step 5: Solve for x
    x = 52,947,390,609/107,720
  6. Step 6: Final answer
    x = 491,527.95

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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.