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Finding the Third Proportional to 45,250.31 and 99,422.44

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Solution

The third proportional to 45,250.31 and 99,422.44 is: 218,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,250.31 : 99,422.44 = 99,422.44 : x
  2. Step 2: Convert to fraction form
    45,250.31/99,422.44 = 99,422.44/x
  3. Step 3: Cross multiply
    45,250.31x = 99,422.44 × 99,422.44
  4. Step 4: Simplify right side
    45,250.31x = 9,884,821,078.44
  5. Step 5: Solve for x
    x = 9,884,821,078.44/45,250.31
  6. Step 6: Final answer
    x = 218,447.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.