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Finding the Third Proportional to 76,963.61 and 150,198.21

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Solution

The third proportional to 76,963.61 and 150,198.21 is: 293,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,963.61 : 150,198.21 = 150,198.21 : x
  2. Step 2: Convert to fraction form
    76,963.61/150,198.21 = 150,198.21/x
  3. Step 3: Cross multiply
    76,963.61x = 150,198.21 × 150,198.21
  4. Step 4: Simplify right side
    76,963.61x = 22,559,500,808.69
  5. Step 5: Solve for x
    x = 22,559,500,808.69/76,963.61
  6. Step 6: Final answer
    x = 293,119.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.