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Finding the Third Proportional to 45,252.75 and 99,408.75

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Solution

The third proportional to 45,252.75 and 99,408.75 is: 218,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,252.75 : 99,408.75 = 99,408.75 : x
  2. Step 2: Convert to fraction form
    45,252.75/99,408.75 = 99,408.75/x
  3. Step 3: Cross multiply
    45,252.75x = 99,408.75 × 99,408.75
  4. Step 4: Simplify right side
    45,252.75x = 9,882,099,576.56
  5. Step 5: Solve for x
    x = 9,882,099,576.56/45,252.75
  6. Step 6: Final answer
    x = 218,375.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.