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Finding the Third Proportional to 41,203.69 and 83,068.03

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Solution

The third proportional to 41,203.69 and 83,068.03 is: 167,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203.69 : 83,068.03 = 83,068.03 : x
  2. Step 2: Convert to fraction form
    41,203.69/83,068.03 = 83,068.03/x
  3. Step 3: Cross multiply
    41,203.69x = 83,068.03 × 83,068.03
  4. Step 4: Simplify right side
    41,203.69x = 6,900,297,815.75
  5. Step 5: Solve for x
    x = 6,900,297,815.75/41,203.69
  6. Step 6: Final answer
    x = 167,467.97

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.