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Finding the Third Proportional to 92,374 and 199,161

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Solution

The third proportional to 92,374 and 199,161 is: 429,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,374 : 199,161 = 199,161 : x
  2. Step 2: Convert to fraction form
    92,374/199,161 = 199,161/x
  3. Step 3: Cross multiply
    92,374x = 199,161 × 199,161
  4. Step 4: Simplify right side
    92,374x = 39,665,103,921
  5. Step 5: Solve for x
    x = 39,665,103,921/92,374
  6. Step 6: Final answer
    x = 429,396.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.