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Finding the Third Proportional to 89,408 and 194,193

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Solution

The third proportional to 89,408 and 194,193 is: 421,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,408 : 194,193 = 194,193 : x
  2. Step 2: Convert to fraction form
    89,408/194,193 = 194,193/x
  3. Step 3: Cross multiply
    89,408x = 194,193 × 194,193
  4. Step 4: Simplify right side
    89,408x = 37,710,921,249
  5. Step 5: Solve for x
    x = 37,710,921,249/89,408
  6. Step 6: Final answer
    x = 421,784.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.