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Finding the Third Proportional to 193,297.22 and 415,200.09

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Solution

The third proportional to 193,297.22 and 415,200.09 is: 891,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,297.22 : 415,200.09 = 415,200.09 : x
  2. Step 2: Convert to fraction form
    193,297.22/415,200.09 = 415,200.09/x
  3. Step 3: Cross multiply
    193,297.22x = 415,200.09 × 415,200.09
  4. Step 4: Simplify right side
    193,297.22x = 172,391,117,850.01
  5. Step 5: Solve for x
    x = 172,391,117,850.01/193,297.22
  6. Step 6: Final answer
    x = 891,844.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.