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Finding the Third Proportional to 86,583.94 and 182,548.69

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Solution

The third proportional to 86,583.94 and 182,548.69 is: 384,875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,583.94 : 182,548.69 = 182,548.69 : x
  2. Step 2: Convert to fraction form
    86,583.94/182,548.69 = 182,548.69/x
  3. Step 3: Cross multiply
    86,583.94x = 182,548.69 × 182,548.69
  4. Step 4: Simplify right side
    86,583.94x = 33,324,023,307.97
  5. Step 5: Solve for x
    x = 33,324,023,307.97/86,583.94
  6. Step 6: Final answer
    x = 384,875.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.