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Finding the Third Proportional to 96,048 and 206,892

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Solution

The third proportional to 96,048 and 206,892 is: 445,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,048 : 206,892 = 206,892 : x
  2. Step 2: Convert to fraction form
    96,048/206,892 = 206,892/x
  3. Step 3: Cross multiply
    96,048x = 206,892 × 206,892
  4. Step 4: Simplify right side
    96,048x = 42,804,299,664
  5. Step 5: Solve for x
    x = 42,804,299,664/96,048
  6. Step 6: Final answer
    x = 445,655.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.