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Finding the Third Proportional to 151,986 and 222,116.25

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Solution

The third proportional to 151,986 and 222,116.25 is: 324,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,986 : 222,116.25 = 222,116.25 : x
  2. Step 2: Convert to fraction form
    151,986/222,116.25 = 222,116.25/x
  3. Step 3: Cross multiply
    151,986x = 222,116.25 × 222,116.25
  4. Step 4: Simplify right side
    151,986x = 49,335,628,514.06
  5. Step 5: Solve for x
    x = 49,335,628,514.06/151,986
  6. Step 6: Final answer
    x = 324,606.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.