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Finding the Third Proportional to 94,936 and 205,100

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Solution

The third proportional to 94,936 and 205,100 is: 443,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,936 : 205,100 = 205,100 : x
  2. Step 2: Convert to fraction form
    94,936/205,100 = 205,100/x
  3. Step 3: Cross multiply
    94,936x = 205,100 × 205,100
  4. Step 4: Simplify right side
    94,936x = 42,066,010,000
  5. Step 5: Solve for x
    x = 42,066,010,000/94,936
  6. Step 6: Final answer
    x = 443,098.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.