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Finding the Third Proportional to 48,211.88 and 98,772.75

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Solution

The third proportional to 48,211.88 and 98,772.75 is: 202,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,211.88 : 98,772.75 = 98,772.75 : x
  2. Step 2: Convert to fraction form
    48,211.88/98,772.75 = 98,772.75/x
  3. Step 3: Cross multiply
    48,211.88x = 98,772.75 × 98,772.75
  4. Step 4: Simplify right side
    48,211.88x = 9,756,056,142.56
  5. Step 5: Solve for x
    x = 9,756,056,142.56/48,211.88
  6. Step 6: Final answer
    x = 202,357.95

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.