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Finding the Third Proportional to 92,962 and 203,666

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Solution

The third proportional to 92,962 and 203,666 is: 446,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,962 : 203,666 = 203,666 : x
  2. Step 2: Convert to fraction form
    92,962/203,666 = 203,666/x
  3. Step 3: Cross multiply
    92,962x = 203,666 × 203,666
  4. Step 4: Simplify right side
    92,962x = 41,479,839,556
  5. Step 5: Solve for x
    x = 41,479,839,556/92,962
  6. Step 6: Final answer
    x = 446,202.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.