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Finding the Third Proportional to 99,956 and 150,222

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Solution

The third proportional to 99,956 and 150,222 is: 225,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,956 : 150,222 = 150,222 : x
  2. Step 2: Convert to fraction form
    99,956/150,222 = 150,222/x
  3. Step 3: Cross multiply
    99,956x = 150,222 × 150,222
  4. Step 4: Simplify right side
    99,956x = 22,566,649,284
  5. Step 5: Solve for x
    x = 22,566,649,284/99,956
  6. Step 6: Final answer
    x = 225,765.83

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