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Finding the Third Proportional to 101,844.84 and 149,645.81

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Solution

The third proportional to 101,844.84 and 149,645.81 is: 219,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,844.84 : 149,645.81 = 149,645.81 : x
  2. Step 2: Convert to fraction form
    101,844.84/149,645.81 = 149,645.81/x
  3. Step 3: Cross multiply
    101,844.84x = 149,645.81 × 149,645.81
  4. Step 4: Simplify right side
    101,844.84x = 22,393,869,198.79
  5. Step 5: Solve for x
    x = 22,393,869,198.79/101,844.84
  6. Step 6: Final answer
    x = 219,882.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.