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Finding the Third Proportional to 95,481 and 209,826

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Solution

The third proportional to 95,481 and 209,826 is: 461,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,481 : 209,826 = 209,826 : x
  2. Step 2: Convert to fraction form
    95,481/209,826 = 209,826/x
  3. Step 3: Cross multiply
    95,481x = 209,826 × 209,826
  4. Step 4: Simplify right side
    95,481x = 44,026,950,276
  5. Step 5: Solve for x
    x = 44,026,950,276/95,481
  6. Step 6: Final answer
    x = 461,106.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.