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Finding the Third Proportional to 103,344.29 and 155,016.44

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Solution

The third proportional to 103,344.29 and 155,016.44 is: 232,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,344.29 : 155,016.44 = 155,016.44 : x
  2. Step 2: Convert to fraction form
    103,344.29/155,016.44 = 155,016.44/x
  3. Step 3: Cross multiply
    103,344.29x = 155,016.44 × 155,016.44
  4. Step 4: Simplify right side
    103,344.29x = 24,030,096,500.72
  5. Step 5: Solve for x
    x = 24,030,096,500.72/103,344.29
  6. Step 6: Final answer
    x = 232,524.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.