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Finding the Third Proportional to 99,760 and 213,344

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Solution

The third proportional to 99,760 and 213,344 is: 456,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,760 : 213,344 = 213,344 : x
  2. Step 2: Convert to fraction form
    99,760/213,344 = 213,344/x
  3. Step 3: Cross multiply
    99,760x = 213,344 × 213,344
  4. Step 4: Simplify right side
    99,760x = 45,515,662,336
  5. Step 5: Solve for x
    x = 45,515,662,336/99,760
  6. Step 6: Final answer
    x = 456,251.63

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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.