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Finding the Third Proportional to 92,170 and 188,228

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Solution

The third proportional to 92,170 and 188,228 is: 384,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,170 : 188,228 = 188,228 : x
  2. Step 2: Convert to fraction form
    92,170/188,228 = 188,228/x
  3. Step 3: Cross multiply
    92,170x = 188,228 × 188,228
  4. Step 4: Simplify right side
    92,170x = 35,429,779,984
  5. Step 5: Solve for x
    x = 35,429,779,984/92,170
  6. Step 6: Final answer
    x = 384,396.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.