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Finding the Third Proportional to 48,806 and 99,916

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Solution

The third proportional to 48,806 and 99,916 is: 204,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,806 : 99,916 = 99,916 : x
  2. Step 2: Convert to fraction form
    48,806/99,916 = 99,916/x
  3. Step 3: Cross multiply
    48,806x = 99,916 × 99,916
  4. Step 4: Simplify right side
    48,806x = 9,983,207,056
  5. Step 5: Solve for x
    x = 9,983,207,056/48,806
  6. Step 6: Final answer
    x = 204,548.77

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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.