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Finding the Third Proportional to 92,154 and 200,697

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Solution

The third proportional to 92,154 and 200,697 is: 437,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,154 : 200,697 = 200,697 : x
  2. Step 2: Convert to fraction form
    92,154/200,697 = 200,697/x
  3. Step 3: Cross multiply
    92,154x = 200,697 × 200,697
  4. Step 4: Simplify right side
    92,154x = 40,279,285,809
  5. Step 5: Solve for x
    x = 40,279,285,809/92,154
  6. Step 6: Final answer
    x = 437,086.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.