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Finding the Third Proportional to 103,222.13 and 150,850.13

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Solution

The third proportional to 103,222.13 and 150,850.13 is: 220,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,222.13 : 150,850.13 = 150,850.13 : x
  2. Step 2: Convert to fraction form
    103,222.13/150,850.13 = 150,850.13/x
  3. Step 3: Cross multiply
    103,222.13x = 150,850.13 × 150,850.13
  4. Step 4: Simplify right side
    103,222.13x = 22,755,760,212.52
  5. Step 5: Solve for x
    x = 22,755,760,212.52/103,222.13
  6. Step 6: Final answer
    x = 220,454.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.