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Finding the Third Proportional to 138,513.94 and 303,301.69

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Solution

The third proportional to 138,513.94 and 303,301.69 is: 664,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,513.94 : 303,301.69 = 303,301.69 : x
  2. Step 2: Convert to fraction form
    138,513.94/303,301.69 = 303,301.69/x
  3. Step 3: Cross multiply
    138,513.94x = 303,301.69 × 303,301.69
  4. Step 4: Simplify right side
    138,513.94x = 91,991,913,640.35
  5. Step 5: Solve for x
    x = 91,991,913,640.35/138,513.94
  6. Step 6: Final answer
    x = 664,134.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.