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Finding the Third Proportional to 95,828 and 210,488

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Solution

The third proportional to 95,828 and 210,488 is: 462,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,828 : 210,488 = 210,488 : x
  2. Step 2: Convert to fraction form
    95,828/210,488 = 210,488/x
  3. Step 3: Cross multiply
    95,828x = 210,488 × 210,488
  4. Step 4: Simplify right side
    95,828x = 44,305,198,144
  5. Step 5: Solve for x
    x = 44,305,198,144/95,828
  6. Step 6: Final answer
    x = 462,340.84

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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.