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Finding the Third Proportional to 92,909 and 197,806

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Solution

The third proportional to 92,909 and 197,806 is: 421,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,909 : 197,806 = 197,806 : x
  2. Step 2: Convert to fraction form
    92,909/197,806 = 197,806/x
  3. Step 3: Cross multiply
    92,909x = 197,806 × 197,806
  4. Step 4: Simplify right side
    92,909x = 39,127,213,636
  5. Step 5: Solve for x
    x = 39,127,213,636/92,909
  6. Step 6: Final answer
    x = 421,134.81

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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.