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Finding the Third Proportional to 92,164 and 201,016

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Solution

The third proportional to 92,164 and 201,016 is: 438,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,164 : 201,016 = 201,016 : x
  2. Step 2: Convert to fraction form
    92,164/201,016 = 201,016/x
  3. Step 3: Cross multiply
    92,164x = 201,016 × 201,016
  4. Step 4: Simplify right side
    92,164x = 40,407,432,256
  5. Step 5: Solve for x
    x = 40,407,432,256/92,164
  6. Step 6: Final answer
    x = 438,429.67

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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.