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Finding the Third Proportional to 48,804 and 99,912

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Solution

The third proportional to 48,804 and 99,912 is: 204,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,804 : 99,912 = 99,912 : x
  2. Step 2: Convert to fraction form
    48,804/99,912 = 99,912/x
  3. Step 3: Cross multiply
    48,804x = 99,912 × 99,912
  4. Step 4: Simplify right side
    48,804x = 9,982,407,744
  5. Step 5: Solve for x
    x = 9,982,407,744/48,804
  6. Step 6: Final answer
    x = 204,540.77

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Why These Related Problems?

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