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Finding the Third Proportional to 86,066 and 190,180

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Solution

The third proportional to 86,066 and 190,180 is: 420,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,066 : 190,180 = 190,180 : x
  2. Step 2: Convert to fraction form
    86,066/190,180 = 190,180/x
  3. Step 3: Cross multiply
    86,066x = 190,180 × 190,180
  4. Step 4: Simplify right side
    86,066x = 36,168,432,400
  5. Step 5: Solve for x
    x = 36,168,432,400/86,066
  6. Step 6: Final answer
    x = 420,240.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.