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Finding the Third Proportional to 38,630.04 and 80,221.01

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Solution

The third proportional to 38,630.04 and 80,221.01 is: 166,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,630.04 : 80,221.01 = 80,221.01 : x
  2. Step 2: Convert to fraction form
    38,630.04/80,221.01 = 80,221.01/x
  3. Step 3: Cross multiply
    38,630.04x = 80,221.01 × 80,221.01
  4. Step 4: Simplify right side
    38,630.04x = 6,435,410,094.45
  5. Step 5: Solve for x
    x = 6,435,410,094.45/38,630.04
  6. Step 6: Final answer
    x = 166,590.83

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.