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Finding the Third Proportional to 96,379 and 208,847

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Solution

The third proportional to 96,379 and 208,847 is: 452,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,379 : 208,847 = 208,847 : x
  2. Step 2: Convert to fraction form
    96,379/208,847 = 208,847/x
  3. Step 3: Cross multiply
    96,379x = 208,847 × 208,847
  4. Step 4: Simplify right side
    96,379x = 43,617,069,409
  5. Step 5: Solve for x
    x = 43,617,069,409/96,379
  6. Step 6: Final answer
    x = 452,557.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.