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Finding the Third Proportional to 94,091 and 203,517

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Solution

The third proportional to 94,091 and 203,517 is: 440,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,091 : 203,517 = 203,517 : x
  2. Step 2: Convert to fraction form
    94,091/203,517 = 203,517/x
  3. Step 3: Cross multiply
    94,091x = 203,517 × 203,517
  4. Step 4: Simplify right side
    94,091x = 41,419,169,289
  5. Step 5: Solve for x
    x = 41,419,169,289/94,091
  6. Step 6: Final answer
    x = 440,203.31

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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.