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Finding the Third Proportional to 94,805 and 204,814

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Solution

The third proportional to 94,805 and 204,814 is: 442,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,805 : 204,814 = 204,814 : x
  2. Step 2: Convert to fraction form
    94,805/204,814 = 204,814/x
  3. Step 3: Cross multiply
    94,805x = 204,814 × 204,814
  4. Step 4: Simplify right side
    94,805x = 41,948,774,596
  5. Step 5: Solve for x
    x = 41,948,774,596/94,805
  6. Step 6: Final answer
    x = 442,474.29

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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.