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Finding the Third Proportional to 89,786.81 and 133,901.44

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Solution

The third proportional to 89,786.81 and 133,901.44 is: 199,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,786.81 : 133,901.44 = 133,901.44 : x
  2. Step 2: Convert to fraction form
    89,786.81/133,901.44 = 133,901.44/x
  3. Step 3: Cross multiply
    89,786.81x = 133,901.44 × 133,901.44
  4. Step 4: Simplify right side
    89,786.81x = 17,929,594,964.57
  5. Step 5: Solve for x
    x = 17,929,594,964.57/89,786.81
  6. Step 6: Final answer
    x = 199,690.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.