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Finding the Third Proportional to 92,425 and 199,268

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Solution

The third proportional to 92,425 and 199,268 is: 429,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,425 : 199,268 = 199,268 : x
  2. Step 2: Convert to fraction form
    92,425/199,268 = 199,268/x
  3. Step 3: Cross multiply
    92,425x = 199,268 × 199,268
  4. Step 4: Simplify right side
    92,425x = 39,707,735,824
  5. Step 5: Solve for x
    x = 39,707,735,824/92,425
  6. Step 6: Final answer
    x = 429,621.16

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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.