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Finding the Third Proportional to 69,205.13 and 150,917.25

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Solution

The third proportional to 69,205.13 and 150,917.25 is: 329,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,205.13 : 150,917.25 = 150,917.25 : x
  2. Step 2: Convert to fraction form
    69,205.13/150,917.25 = 150,917.25/x
  3. Step 3: Cross multiply
    69,205.13x = 150,917.25 × 150,917.25
  4. Step 4: Simplify right side
    69,205.13x = 22,776,016,347.56
  5. Step 5: Solve for x
    x = 22,776,016,347.56/69,205.13
  6. Step 6: Final answer
    x = 329,108.81

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Why These Related Problems?

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