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Finding the Third Proportional to 107,138.94 and 230,401.94

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Solution

The third proportional to 107,138.94 and 230,401.94 is: 495,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,138.94 : 230,401.94 = 230,401.94 : x
  2. Step 2: Convert to fraction form
    107,138.94/230,401.94 = 230,401.94/x
  3. Step 3: Cross multiply
    107,138.94x = 230,401.94 × 230,401.94
  4. Step 4: Simplify right side
    107,138.94x = 53,085,052,803.75
  5. Step 5: Solve for x
    x = 53,085,052,803.75/107,138.94
  6. Step 6: Final answer
    x = 495,478.62

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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.