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Finding the Third Proportional to 45,441.26 and 97,067.41

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Solution

The third proportional to 45,441.26 and 97,067.41 is: 207,346.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,441.26 : 97,067.41 = 97,067.41 : x
  2. Step 2: Convert to fraction form
    45,441.26/97,067.41 = 97,067.41/x
  3. Step 3: Cross multiply
    45,441.26x = 97,067.41 × 97,067.41
  4. Step 4: Simplify right side
    45,441.26x = 9,422,082,872.78
  5. Step 5: Solve for x
    x = 9,422,082,872.78/45,441.26
  6. Step 6: Final answer
    x = 207,346.44

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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.