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Finding the Third Proportional to 99,768.19 and 149,647.78

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Solution

The third proportional to 99,768.19 and 149,647.78 is: 224,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,768.19 : 149,647.78 = 149,647.78 : x
  2. Step 2: Convert to fraction form
    99,768.19/149,647.78 = 149,647.78/x
  3. Step 3: Cross multiply
    99,768.19x = 149,647.78 × 149,647.78
  4. Step 4: Simplify right side
    99,768.19x = 22,394,458,433.05
  5. Step 5: Solve for x
    x = 22,394,458,433.05/99,768.19
  6. Step 6: Final answer
    x = 224,464.92

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Why These Related Problems?

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