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Finding the Third Proportional to 86,100.75 and 182,427.75

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Solution

The third proportional to 86,100.75 and 182,427.75 is: 386,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,100.75 : 182,427.75 = 182,427.75 : x
  2. Step 2: Convert to fraction form
    86,100.75/182,427.75 = 182,427.75/x
  3. Step 3: Cross multiply
    86,100.75x = 182,427.75 × 182,427.75
  4. Step 4: Simplify right side
    86,100.75x = 33,279,883,970.06
  5. Step 5: Solve for x
    x = 33,279,883,970.06/86,100.75
  6. Step 6: Final answer
    x = 386,522.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.