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Finding the Third Proportional to 107,139.19 and 230,402.44

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Solution

The third proportional to 107,139.19 and 230,402.44 is: 495,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,139.19 : 230,402.44 = 230,402.44 : x
  2. Step 2: Convert to fraction form
    107,139.19/230,402.44 = 230,402.44/x
  3. Step 3: Cross multiply
    107,139.19x = 230,402.44 × 230,402.44
  4. Step 4: Simplify right side
    107,139.19x = 53,085,283,205.94
  5. Step 5: Solve for x
    x = 53,085,283,205.94/107,139.19
  6. Step 6: Final answer
    x = 495,479.61

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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.