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Finding the Third Proportional to 103,222.50 and 150,850.50

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Solution

The third proportional to 103,222.50 and 150,850.50 is: 220,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,222.50 : 150,850.50 = 150,850.50 : x
  2. Step 2: Convert to fraction form
    103,222.50/150,850.50 = 150,850.50/x
  3. Step 3: Cross multiply
    103,222.50x = 150,850.50 × 150,850.50
  4. Step 4: Simplify right side
    103,222.50x = 22,755,873,350.25
  5. Step 5: Solve for x
    x = 22,755,873,350.25/103,222.50
  6. Step 6: Final answer
    x = 220,454.58

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