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Finding the Third Proportional to 137,163.38 and 219,034.13

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Solution

The third proportional to 137,163.38 and 219,034.13 is: 349,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,163.38 : 219,034.13 = 219,034.13 : x
  2. Step 2: Convert to fraction form
    137,163.38/219,034.13 = 219,034.13/x
  3. Step 3: Cross multiply
    137,163.38x = 219,034.13 × 219,034.13
  4. Step 4: Simplify right side
    137,163.38x = 47,975,947,914.52
  5. Step 5: Solve for x
    x = 47,975,947,914.52/137,163.38
  6. Step 6: Final answer
    x = 349,772.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.