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Finding the Third Proportional to 49,671 and 96,844.50

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Solution

The third proportional to 49,671 and 96,844.50 is: 188,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,671 : 96,844.50 = 96,844.50 : x
  2. Step 2: Convert to fraction form
    49,671/96,844.50 = 96,844.50/x
  3. Step 3: Cross multiply
    49,671x = 96,844.50 × 96,844.50
  4. Step 4: Simplify right side
    49,671x = 9,378,857,180.25
  5. Step 5: Solve for x
    x = 9,378,857,180.25/49,671
  6. Step 6: Final answer
    x = 188,819.58

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.