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Finding the Third Proportional to 96,884 and 213,328

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Solution

The third proportional to 96,884 and 213,328 is: 469,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,884 : 213,328 = 213,328 : x
  2. Step 2: Convert to fraction form
    96,884/213,328 = 213,328/x
  3. Step 3: Cross multiply
    96,884x = 213,328 × 213,328
  4. Step 4: Simplify right side
    96,884x = 45,508,835,584
  5. Step 5: Solve for x
    x = 45,508,835,584/96,884
  6. Step 6: Final answer
    x = 469,724.99

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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.