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Finding the Third Proportional to 69,366.38 and 149,260.22

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Solution

The third proportional to 69,366.38 and 149,260.22 is: 321,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,366.38 : 149,260.22 = 149,260.22 : x
  2. Step 2: Convert to fraction form
    69,366.38/149,260.22 = 149,260.22/x
  3. Step 3: Cross multiply
    69,366.38x = 149,260.22 × 149,260.22
  4. Step 4: Simplify right side
    69,366.38x = 22,278,612,901.30
  5. Step 5: Solve for x
    x = 22,278,612,901.30/69,366.38
  6. Step 6: Final answer
    x = 321,173.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.