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Finding the Third Proportional to 86,812 and 190,244

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Solution

The third proportional to 86,812 and 190,244 is: 416,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,812 : 190,244 = 190,244 : x
  2. Step 2: Convert to fraction form
    86,812/190,244 = 190,244/x
  3. Step 3: Cross multiply
    86,812x = 190,244 × 190,244
  4. Step 4: Simplify right side
    86,812x = 36,192,779,536
  5. Step 5: Solve for x
    x = 36,192,779,536/86,812
  6. Step 6: Final answer
    x = 416,909.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.