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Finding the Third Proportional to 41,907 and 91,194

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Solution

The third proportional to 41,907 and 91,194 is: 198,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,907 : 91,194 = 91,194 : x
  2. Step 2: Convert to fraction form
    41,907/91,194 = 91,194/x
  3. Step 3: Cross multiply
    41,907x = 91,194 × 91,194
  4. Step 4: Simplify right side
    41,907x = 8,316,345,636
  5. Step 5: Solve for x
    x = 8,316,345,636/41,907
  6. Step 6: Final answer
    x = 198,447.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.