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Finding the Third Proportional to 96,359 and 211,940

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Solution

The third proportional to 96,359 and 211,940 is: 466,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,359 : 211,940 = 211,940 : x
  2. Step 2: Convert to fraction form
    96,359/211,940 = 211,940/x
  3. Step 3: Cross multiply
    96,359x = 211,940 × 211,940
  4. Step 4: Simplify right side
    96,359x = 44,918,563,600
  5. Step 5: Solve for x
    x = 44,918,563,600/96,359
  6. Step 6: Final answer
    x = 466,158.47

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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.