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Finding the Third Proportional to 96,372 and 204,408

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Solution

The third proportional to 96,372 and 204,408 is: 433,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,372 : 204,408 = 204,408 : x
  2. Step 2: Convert to fraction form
    96,372/204,408 = 204,408/x
  3. Step 3: Cross multiply
    96,372x = 204,408 × 204,408
  4. Step 4: Simplify right side
    96,372x = 41,782,630,464
  5. Step 5: Solve for x
    x = 41,782,630,464/96,372
  6. Step 6: Final answer
    x = 433,555.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.