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Finding the Third Proportional to 92,406 and 199,563

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Solution

The third proportional to 92,406 and 199,563 is: 430,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,406 : 199,563 = 199,563 : x
  2. Step 2: Convert to fraction form
    92,406/199,563 = 199,563/x
  3. Step 3: Cross multiply
    92,406x = 199,563 × 199,563
  4. Step 4: Simplify right side
    92,406x = 39,825,390,969
  5. Step 5: Solve for x
    x = 39,825,390,969/92,406
  6. Step 6: Final answer
    x = 430,982.74

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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.