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Finding the Third Proportional to 92,153 and 200,695

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Solution

The third proportional to 92,153 and 200,695 is: 437,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,153 : 200,695 = 200,695 : x
  2. Step 2: Convert to fraction form
    92,153/200,695 = 200,695/x
  3. Step 3: Cross multiply
    92,153x = 200,695 × 200,695
  4. Step 4: Simplify right side
    92,153x = 40,278,483,025
  5. Step 5: Solve for x
    x = 40,278,483,025/92,153
  6. Step 6: Final answer
    x = 437,082.71

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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.