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Finding the Third Proportional to 95,033 and 204,105

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Solution

The third proportional to 95,033 and 204,105 is: 438,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,033 : 204,105 = 204,105 : x
  2. Step 2: Convert to fraction form
    95,033/204,105 = 204,105/x
  3. Step 3: Cross multiply
    95,033x = 204,105 × 204,105
  4. Step 4: Simplify right side
    95,033x = 41,658,851,025
  5. Step 5: Solve for x
    x = 41,658,851,025/95,033
  6. Step 6: Final answer
    x = 438,361.95

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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.