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Finding the Third Proportional to 69,190.03 and 149,856.19

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Solution

The third proportional to 69,190.03 and 149,856.19 is: 324,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,190.03 : 149,856.19 = 149,856.19 : x
  2. Step 2: Convert to fraction form
    69,190.03/149,856.19 = 149,856.19/x
  3. Step 3: Cross multiply
    69,190.03x = 149,856.19 × 149,856.19
  4. Step 4: Simplify right side
    69,190.03x = 22,456,876,932.04
  5. Step 5: Solve for x
    x = 22,456,876,932.04/69,190.03
  6. Step 6: Final answer
    x = 324,568.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.