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Finding the Third Proportional to 100,265.98 and 150,418.90

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Solution

The third proportional to 100,265.98 and 150,418.90 is: 225,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265.98 : 150,418.90 = 150,418.90 : x
  2. Step 2: Convert to fraction form
    100,265.98/150,418.90 = 150,418.90/x
  3. Step 3: Cross multiply
    100,265.98x = 150,418.90 × 150,418.90
  4. Step 4: Simplify right side
    100,265.98x = 22,625,845,007.15
  5. Step 5: Solve for x
    x = 22,625,845,007.15/100,265.98
  6. Step 6: Final answer
    x = 225,658.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.