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Finding the Third Proportional to 48,622 and 103,978

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Solution

The third proportional to 48,622 and 103,978 is: 222,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,622 : 103,978 = 103,978 : x
  2. Step 2: Convert to fraction form
    48,622/103,978 = 103,978/x
  3. Step 3: Cross multiply
    48,622x = 103,978 × 103,978
  4. Step 4: Simplify right side
    48,622x = 10,811,424,484
  5. Step 5: Solve for x
    x = 10,811,424,484/48,622
  6. Step 6: Final answer
    x = 222,356.64

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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.