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Finding the Third Proportional to 48,408.75 and 103,819.50

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Solution

The third proportional to 48,408.75 and 103,819.50 is: 222,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,408.75 : 103,819.50 = 103,819.50 : x
  2. Step 2: Convert to fraction form
    48,408.75/103,819.50 = 103,819.50/x
  3. Step 3: Cross multiply
    48,408.75x = 103,819.50 × 103,819.50
  4. Step 4: Simplify right side
    48,408.75x = 10,778,488,580.25
  5. Step 5: Solve for x
    x = 10,778,488,580.25/48,408.75
  6. Step 6: Final answer
    x = 222,655.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.