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Finding the Third Proportional to 92,486 and 199,700

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Solution

The third proportional to 92,486 and 199,700 is: 431,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,486 : 199,700 = 199,700 : x
  2. Step 2: Convert to fraction form
    92,486/199,700 = 199,700/x
  3. Step 3: Cross multiply
    92,486x = 199,700 × 199,700
  4. Step 4: Simplify right side
    92,486x = 39,880,090,000
  5. Step 5: Solve for x
    x = 39,880,090,000/92,486
  6. Step 6: Final answer
    x = 431,201.37

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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.