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Finding the Third Proportional to 92,150 and 201,613

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Solution

The third proportional to 92,150 and 201,613 is: 441,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,150 : 201,613 = 201,613 : x
  2. Step 2: Convert to fraction form
    92,150/201,613 = 201,613/x
  3. Step 3: Cross multiply
    92,150x = 201,613 × 201,613
  4. Step 4: Simplify right side
    92,150x = 40,647,801,769
  5. Step 5: Solve for x
    x = 40,647,801,769/92,150
  6. Step 6: Final answer
    x = 441,104.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.