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Finding the Third Proportional to 92,024 and 199,096

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Solution

The third proportional to 92,024 and 199,096 is: 430,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,024 : 199,096 = 199,096 : x
  2. Step 2: Convert to fraction form
    92,024/199,096 = 199,096/x
  3. Step 3: Cross multiply
    92,024x = 199,096 × 199,096
  4. Step 4: Simplify right side
    92,024x = 39,639,217,216
  5. Step 5: Solve for x
    x = 39,639,217,216/92,024
  6. Step 6: Final answer
    x = 430,748.69

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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.