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Finding the Third Proportional to 182,110 and 201,166

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Solution

The third proportional to 182,110 and 201,166 is: 222,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,110 : 201,166 = 201,166 : x
  2. Step 2: Convert to fraction form
    182,110/201,166 = 201,166/x
  3. Step 3: Cross multiply
    182,110x = 201,166 × 201,166
  4. Step 4: Simplify right side
    182,110x = 40,467,759,556
  5. Step 5: Solve for x
    x = 40,467,759,556/182,110
  6. Step 6: Final answer
    x = 222,216.02

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.