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Finding the Third Proportional to 81,069.19 and 166,147.88

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Solution

The third proportional to 81,069.19 and 166,147.88 is: 340,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,069.19 : 166,147.88 = 166,147.88 : x
  2. Step 2: Convert to fraction form
    81,069.19/166,147.88 = 166,147.88/x
  3. Step 3: Cross multiply
    81,069.19x = 166,147.88 × 166,147.88
  4. Step 4: Simplify right side
    81,069.19x = 27,605,116,367.02
  5. Step 5: Solve for x
    x = 27,605,116,367.02/81,069.19
  6. Step 6: Final answer
    x = 340,513.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.