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Finding the Third Proportional to 88,956 and 195,408

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Solution

The third proportional to 88,956 and 195,408 is: 429,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,956 : 195,408 = 195,408 : x
  2. Step 2: Convert to fraction form
    88,956/195,408 = 195,408/x
  3. Step 3: Cross multiply
    88,956x = 195,408 × 195,408
  4. Step 4: Simplify right side
    88,956x = 38,184,286,464
  5. Step 5: Solve for x
    x = 38,184,286,464/88,956
  6. Step 6: Final answer
    x = 429,249.14

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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.