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Finding the Third Proportional to 97,631 and 201,093

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Solution

The third proportional to 97,631 and 201,093 is: 414,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,631 : 201,093 = 201,093 : x
  2. Step 2: Convert to fraction form
    97,631/201,093 = 201,093/x
  3. Step 3: Cross multiply
    97,631x = 201,093 × 201,093
  4. Step 4: Simplify right side
    97,631x = 40,438,394,649
  5. Step 5: Solve for x
    x = 40,438,394,649/97,631
  6. Step 6: Final answer
    x = 414,196.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.