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Finding the Third Proportional to 94,961 and 206,098

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Solution

The third proportional to 94,961 and 206,098 is: 447,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,961 : 206,098 = 206,098 : x
  2. Step 2: Convert to fraction form
    94,961/206,098 = 206,098/x
  3. Step 3: Cross multiply
    94,961x = 206,098 × 206,098
  4. Step 4: Simplify right side
    94,961x = 42,476,385,604
  5. Step 5: Solve for x
    x = 42,476,385,604/94,961
  6. Step 6: Final answer
    x = 447,303.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.