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Finding the Third Proportional to 40,163.34 and 87,472.41

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Solution

The third proportional to 40,163.34 and 87,472.41 is: 190,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,163.34 : 87,472.41 = 87,472.41 : x
  2. Step 2: Convert to fraction form
    40,163.34/87,472.41 = 87,472.41/x
  3. Step 3: Cross multiply
    40,163.34x = 87,472.41 × 87,472.41
  4. Step 4: Simplify right side
    40,163.34x = 7,651,421,855.17
  5. Step 5: Solve for x
    x = 7,651,421,855.17/40,163.34
  6. Step 6: Final answer
    x = 190,507.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.