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Finding the Third Proportional to 92,670 and 199,629

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Solution

The third proportional to 92,670 and 199,629 is: 430,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,670 : 199,629 = 199,629 : x
  2. Step 2: Convert to fraction form
    92,670/199,629 = 199,629/x
  3. Step 3: Cross multiply
    92,670x = 199,629 × 199,629
  4. Step 4: Simplify right side
    92,670x = 39,851,737,641
  5. Step 5: Solve for x
    x = 39,851,737,641/92,670
  6. Step 6: Final answer
    x = 430,039.25

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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.