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Finding the Third Proportional to 92,234 and 198,998

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Solution

The third proportional to 92,234 and 198,998 is: 429,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,234 : 198,998 = 198,998 : x
  2. Step 2: Convert to fraction form
    92,234/198,998 = 198,998/x
  3. Step 3: Cross multiply
    92,234x = 198,998 × 198,998
  4. Step 4: Simplify right side
    92,234x = 39,600,204,004
  5. Step 5: Solve for x
    x = 39,600,204,004/92,234
  6. Step 6: Final answer
    x = 429,344.97

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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.