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Finding the Third Proportional to 99,822.38 and 150,773.06

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Solution

The third proportional to 99,822.38 and 150,773.06 is: 227,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,822.38 : 150,773.06 = 150,773.06 : x
  2. Step 2: Convert to fraction form
    99,822.38/150,773.06 = 150,773.06/x
  3. Step 3: Cross multiply
    99,822.38x = 150,773.06 × 150,773.06
  4. Step 4: Simplify right side
    99,822.38x = 22,732,516,375.63
  5. Step 5: Solve for x
    x = 22,732,516,375.63/99,822.38
  6. Step 6: Final answer
    x = 227,729.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.