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Finding the Third Proportional to 96,568 and 206,832

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Solution

The third proportional to 96,568 and 206,832 is: 442,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,568 : 206,832 = 206,832 : x
  2. Step 2: Convert to fraction form
    96,568/206,832 = 206,832/x
  3. Step 3: Cross multiply
    96,568x = 206,832 × 206,832
  4. Step 4: Simplify right side
    96,568x = 42,779,476,224
  5. Step 5: Solve for x
    x = 42,779,476,224/96,568
  6. Step 6: Final answer
    x = 442,998.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.