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Finding the Third Proportional to 48,640.50 and 100,980

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Solution

The third proportional to 48,640.50 and 100,980 is: 209,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,640.50 : 100,980 = 100,980 : x
  2. Step 2: Convert to fraction form
    48,640.50/100,980 = 100,980/x
  3. Step 3: Cross multiply
    48,640.50x = 100,980 × 100,980
  4. Step 4: Simplify right side
    48,640.50x = 10,196,960,400
  5. Step 5: Solve for x
    x = 10,196,960,400/48,640.50
  6. Step 6: Final answer
    x = 209,639.30

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.