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Finding the Third Proportional to 92,149 and 200,971

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Solution

The third proportional to 92,149 and 200,971 is: 438,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,149 : 200,971 = 200,971 : x
  2. Step 2: Convert to fraction form
    92,149/200,971 = 200,971/x
  3. Step 3: Cross multiply
    92,149x = 200,971 × 200,971
  4. Step 4: Simplify right side
    92,149x = 40,389,342,841
  5. Step 5: Solve for x
    x = 40,389,342,841/92,149
  6. Step 6: Final answer
    x = 438,304.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.