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Finding the Third Proportional to 135,601.97 and 291,612.09

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Solution

The third proportional to 135,601.97 and 291,612.09 is: 627,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,601.97 : 291,612.09 = 291,612.09 : x
  2. Step 2: Convert to fraction form
    135,601.97/291,612.09 = 291,612.09/x
  3. Step 3: Cross multiply
    135,601.97x = 291,612.09 × 291,612.09
  4. Step 4: Simplify right side
    135,601.97x = 85,037,613,221.26
  5. Step 5: Solve for x
    x = 85,037,613,221.26/135,601.97
  6. Step 6: Final answer
    x = 627,111.94

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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.