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Finding the Third Proportional to 48,912 and 107,200.50

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Solution

The third proportional to 48,912 and 107,200.50 is: 234,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,912 : 107,200.50 = 107,200.50 : x
  2. Step 2: Convert to fraction form
    48,912/107,200.50 = 107,200.50/x
  3. Step 3: Cross multiply
    48,912x = 107,200.50 × 107,200.50
  4. Step 4: Simplify right side
    48,912x = 11,491,947,200.25
  5. Step 5: Solve for x
    x = 11,491,947,200.25/48,912
  6. Step 6: Final answer
    x = 234,951.49

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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.