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Finding the Third Proportional to 84,219.75 and 182,455.88

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Solution

The third proportional to 84,219.75 and 182,455.88 is: 395,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,219.75 : 182,455.88 = 182,455.88 : x
  2. Step 2: Convert to fraction form
    84,219.75/182,455.88 = 182,455.88/x
  3. Step 3: Cross multiply
    84,219.75x = 182,455.88 × 182,455.88
  4. Step 4: Simplify right side
    84,219.75x = 33,290,146,322.02
  5. Step 5: Solve for x
    x = 33,290,146,322.02/84,219.75
  6. Step 6: Final answer
    x = 395,277.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.