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Finding the Third Proportional to 92,462.63 and 198,971.44

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Solution

The third proportional to 92,462.63 and 198,971.44 is: 428,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,462.63 : 198,971.44 = 198,971.44 : x
  2. Step 2: Convert to fraction form
    92,462.63/198,971.44 = 198,971.44/x
  3. Step 3: Cross multiply
    92,462.63x = 198,971.44 × 198,971.44
  4. Step 4: Simplify right side
    92,462.63x = 39,589,632,940.82
  5. Step 5: Solve for x
    x = 39,589,632,940.82/92,462.63
  6. Step 6: Final answer
    x = 428,169.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.