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Finding the Third Proportional to 92,335 and 198,793

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Solution

The third proportional to 92,335 and 198,793 is: 427,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,335 : 198,793 = 198,793 : x
  2. Step 2: Convert to fraction form
    92,335/198,793 = 198,793/x
  3. Step 3: Cross multiply
    92,335x = 198,793 × 198,793
  4. Step 4: Simplify right side
    92,335x = 39,518,656,849
  5. Step 5: Solve for x
    x = 39,518,656,849/92,335
  6. Step 6: Final answer
    x = 427,992.17

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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.