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Finding the Third Proportional to 135,250.97 and 211,064.91

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Solution

The third proportional to 135,250.97 and 211,064.91 is: 329,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,250.97 : 211,064.91 = 211,064.91 : x
  2. Step 2: Convert to fraction form
    135,250.97/211,064.91 = 211,064.91/x
  3. Step 3: Cross multiply
    135,250.97x = 211,064.91 × 211,064.91
  4. Step 4: Simplify right side
    135,250.97x = 44,548,394,650.32
  5. Step 5: Solve for x
    x = 44,548,394,650.32/135,250.97
  6. Step 6: Final answer
    x = 329,375.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.