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Finding the Third Proportional to 99,755 and 213,331

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Solution

The third proportional to 99,755 and 213,331 is: 456,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,755 : 213,331 = 213,331 : x
  2. Step 2: Convert to fraction form
    99,755/213,331 = 213,331/x
  3. Step 3: Cross multiply
    99,755x = 213,331 × 213,331
  4. Step 4: Simplify right side
    99,755x = 45,510,115,561
  5. Step 5: Solve for x
    x = 45,510,115,561/99,755
  6. Step 6: Final answer
    x = 456,218.89

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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.