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Finding the Third Proportional to 92,833 and 198,194

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Solution

The third proportional to 92,833 and 198,194 is: 423,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,833 : 198,194 = 198,194 : x
  2. Step 2: Convert to fraction form
    92,833/198,194 = 198,194/x
  3. Step 3: Cross multiply
    92,833x = 198,194 × 198,194
  4. Step 4: Simplify right side
    92,833x = 39,280,861,636
  5. Step 5: Solve for x
    x = 39,280,861,636/92,833
  6. Step 6: Final answer
    x = 423,134.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.