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Finding the Third Proportional to 98,632 and 211,568

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Solution

The third proportional to 98,632 and 211,568 is: 453,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,632 : 211,568 = 211,568 : x
  2. Step 2: Convert to fraction form
    98,632/211,568 = 211,568/x
  3. Step 3: Cross multiply
    98,632x = 211,568 × 211,568
  4. Step 4: Simplify right side
    98,632x = 44,761,018,624
  5. Step 5: Solve for x
    x = 44,761,018,624/98,632
  6. Step 6: Final answer
    x = 453,818.42

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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.