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Finding the Third Proportional to 92,484 and 198,996

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Solution

The third proportional to 92,484 and 198,996 is: 428,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,484 : 198,996 = 198,996 : x
  2. Step 2: Convert to fraction form
    92,484/198,996 = 198,996/x
  3. Step 3: Cross multiply
    92,484x = 198,996 × 198,996
  4. Step 4: Simplify right side
    92,484x = 39,599,408,016
  5. Step 5: Solve for x
    x = 39,599,408,016/92,484
  6. Step 6: Final answer
    x = 428,175.77

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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.