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Finding the Third Proportional to 103,218.05 and 150,844.15

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Solution

The third proportional to 103,218.05 and 150,844.15 is: 220,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,218.05 : 150,844.15 = 150,844.15 : x
  2. Step 2: Convert to fraction form
    103,218.05/150,844.15 = 150,844.15/x
  3. Step 3: Cross multiply
    103,218.05x = 150,844.15 × 150,844.15
  4. Step 4: Simplify right side
    103,218.05x = 22,753,957,117.83
  5. Step 5: Solve for x
    x = 22,753,957,117.83/103,218.05
  6. Step 6: Final answer
    x = 220,445.53

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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.