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Finding the Third Proportional to 86,222 and 186,036

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Solution

The third proportional to 86,222 and 186,036 is: 401,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,222 : 186,036 = 186,036 : x
  2. Step 2: Convert to fraction form
    86,222/186,036 = 186,036/x
  3. Step 3: Cross multiply
    86,222x = 186,036 × 186,036
  4. Step 4: Simplify right side
    86,222x = 34,609,393,296
  5. Step 5: Solve for x
    x = 34,609,393,296/86,222
  6. Step 6: Final answer
    x = 401,398.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.