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Finding the Third Proportional to 81,364.08 and 166,692.09

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Solution

The third proportional to 81,364.08 and 166,692.09 is: 341,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,364.08 : 166,692.09 = 166,692.09 : x
  2. Step 2: Convert to fraction form
    81,364.08/166,692.09 = 166,692.09/x
  3. Step 3: Cross multiply
    81,364.08x = 166,692.09 × 166,692.09
  4. Step 4: Simplify right side
    81,364.08x = 27,786,254,118.76
  5. Step 5: Solve for x
    x = 27,786,254,118.76/81,364.08
  6. Step 6: Final answer
    x = 341,505.18

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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.