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Finding the Third Proportional to 96,236 and 214,344

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Solution

The third proportional to 96,236 and 214,344 is: 477,402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,236 : 214,344 = 214,344 : x
  2. Step 2: Convert to fraction form
    96,236/214,344 = 214,344/x
  3. Step 3: Cross multiply
    96,236x = 214,344 × 214,344
  4. Step 4: Simplify right side
    96,236x = 45,943,350,336
  5. Step 5: Solve for x
    x = 45,943,350,336/96,236
  6. Step 6: Final answer
    x = 477,402.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.