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Finding the Third Proportional to 92,912 and 204,322

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Solution

The third proportional to 92,912 and 204,322 is: 449,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,912 : 204,322 = 204,322 : x
  2. Step 2: Convert to fraction form
    92,912/204,322 = 204,322/x
  3. Step 3: Cross multiply
    92,912x = 204,322 × 204,322
  4. Step 4: Simplify right side
    92,912x = 41,747,479,684
  5. Step 5: Solve for x
    x = 41,747,479,684/92,912
  6. Step 6: Final answer
    x = 449,322.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.