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Finding the Third Proportional to 48,879 and 107,099.50

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Solution

The third proportional to 48,879 and 107,099.50 is: 234,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,879 : 107,099.50 = 107,099.50 : x
  2. Step 2: Convert to fraction form
    48,879/107,099.50 = 107,099.50/x
  3. Step 3: Cross multiply
    48,879x = 107,099.50 × 107,099.50
  4. Step 4: Simplify right side
    48,879x = 11,470,302,900.25
  5. Step 5: Solve for x
    x = 11,470,302,900.25/48,879
  6. Step 6: Final answer
    x = 234,667.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.