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Finding the Third Proportional to 109,137.38 and 154,046.81

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Solution

The third proportional to 109,137.38 and 154,046.81 is: 217,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,137.38 : 154,046.81 = 154,046.81 : x
  2. Step 2: Convert to fraction form
    109,137.38/154,046.81 = 154,046.81/x
  3. Step 3: Cross multiply
    109,137.38x = 154,046.81 × 154,046.81
  4. Step 4: Simplify right side
    109,137.38x = 23,730,420,441.41
  5. Step 5: Solve for x
    x = 23,730,420,441.41/109,137.38
  6. Step 6: Final answer
    x = 217,436.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.