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Finding the Third Proportional to 48,470.50 and 103,961

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Solution

The third proportional to 48,470.50 and 103,961 is: 222,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,470.50 : 103,961 = 103,961 : x
  2. Step 2: Convert to fraction form
    48,470.50/103,961 = 103,961/x
  3. Step 3: Cross multiply
    48,470.50x = 103,961 × 103,961
  4. Step 4: Simplify right side
    48,470.50x = 10,807,889,521
  5. Step 5: Solve for x
    x = 10,807,889,521/48,470.50
  6. Step 6: Final answer
    x = 222,978.71

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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.