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Finding the Third Proportional to 48,924 and 104,439.38

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Solution

The third proportional to 48,924 and 104,439.38 is: 222,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,924 : 104,439.38 = 104,439.38 : x
  2. Step 2: Convert to fraction form
    48,924/104,439.38 = 104,439.38/x
  3. Step 3: Cross multiply
    48,924x = 104,439.38 × 104,439.38
  4. Step 4: Simplify right side
    48,924x = 10,907,583,050.39
  5. Step 5: Solve for x
    x = 10,907,583,050.39/48,924
  6. Step 6: Final answer
    x = 222,949.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.