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Finding the Third Proportional to 48,839.20 and 103,673.67

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Solution

The third proportional to 48,839.20 and 103,673.67 is: 220,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,839.20 : 103,673.67 = 103,673.67 : x
  2. Step 2: Convert to fraction form
    48,839.20/103,673.67 = 103,673.67/x
  3. Step 3: Cross multiply
    48,839.20x = 103,673.67 × 103,673.67
  4. Step 4: Simplify right side
    48,839.20x = 10,748,230,240.05
  5. Step 5: Solve for x
    x = 10,748,230,240.05/48,839.20
  6. Step 6: Final answer
    x = 220,073.82

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.