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Finding the Third Proportional to 92,431.97 and 198,874.41

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Solution

The third proportional to 92,431.97 and 198,874.41 is: 427,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,431.97 : 198,874.41 = 198,874.41 : x
  2. Step 2: Convert to fraction form
    92,431.97/198,874.41 = 198,874.41/x
  3. Step 3: Cross multiply
    92,431.97x = 198,874.41 × 198,874.41
  4. Step 4: Simplify right side
    92,431.97x = 39,551,029,461.29
  5. Step 5: Solve for x
    x = 39,551,029,461.29/92,431.97
  6. Step 6: Final answer
    x = 427,893.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.