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Finding the Third Proportional to 69,137.44 and 150,789.38

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Solution

The third proportional to 69,137.44 and 150,789.38 is: 328,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,137.44 : 150,789.38 = 150,789.38 : x
  2. Step 2: Convert to fraction form
    69,137.44/150,789.38 = 150,789.38/x
  3. Step 3: Cross multiply
    69,137.44x = 150,789.38 × 150,789.38
  4. Step 4: Simplify right side
    69,137.44x = 22,737,435,612.89
  5. Step 5: Solve for x
    x = 22,737,435,612.89/69,137.44
  6. Step 6: Final answer
    x = 328,872.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.