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Finding the Third Proportional to 47,882.39 and 113,393.67

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Solution

The third proportional to 47,882.39 and 113,393.67 is: 268,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882.39 : 113,393.67 = 113,393.67 : x
  2. Step 2: Convert to fraction form
    47,882.39/113,393.67 = 113,393.67/x
  3. Step 3: Cross multiply
    47,882.39x = 113,393.67 × 113,393.67
  4. Step 4: Simplify right side
    47,882.39x = 12,858,124,821.30
  5. Step 5: Solve for x
    x = 12,858,124,821.30/47,882.39
  6. Step 6: Final answer
    x = 268,535.57

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.