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Finding the Third Proportional to 92,652 and 199,992

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Solution

The third proportional to 92,652 and 199,992 is: 431,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,652 : 199,992 = 199,992 : x
  2. Step 2: Convert to fraction form
    92,652/199,992 = 199,992/x
  3. Step 3: Cross multiply
    92,652x = 199,992 × 199,992
  4. Step 4: Simplify right side
    92,652x = 39,996,800,064
  5. Step 5: Solve for x
    x = 39,996,800,064/92,652
  6. Step 6: Final answer
    x = 431,688.47

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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.