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Finding the Third Proportional to 96,821 and 210,867

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Solution

The third proportional to 96,821 and 210,867 is: 459,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,821 : 210,867 = 210,867 : x
  2. Step 2: Convert to fraction form
    96,821/210,867 = 210,867/x
  3. Step 3: Cross multiply
    96,821x = 210,867 × 210,867
  4. Step 4: Simplify right side
    96,821x = 44,464,891,689
  5. Step 5: Solve for x
    x = 44,464,891,689/96,821
  6. Step 6: Final answer
    x = 459,248.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.