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Finding the Third Proportional to 108,449,531 and 165,215,408

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Solution

The third proportional to 108,449,531 and 165,215,408 is: 251,694,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,449,531 : 165,215,408 = 165,215,408 : x
  2. Step 2: Convert to fraction form
    108,449,531/165,215,408 = 165,215,408/x
  3. Step 3: Cross multiply
    108,449,531x = 165,215,408 × 165,215,408
  4. Step 4: Simplify right side
    108,449,531x = 27,296,131,040,606,464
  5. Step 5: Solve for x
    x = 27,296,131,040,606,464/108,449,531
  6. Step 6: Final answer
    x = 251,694,320.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.