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Finding the Third Proportional to 84,912.05 and 181,715.91

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Solution

The third proportional to 84,912.05 and 181,715.91 is: 388,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912.05 : 181,715.91 = 181,715.91 : x
  2. Step 2: Convert to fraction form
    84,912.05/181,715.91 = 181,715.91/x
  3. Step 3: Cross multiply
    84,912.05x = 181,715.91 × 181,715.91
  4. Step 4: Simplify right side
    84,912.05x = 33,020,670,584.26
  5. Step 5: Solve for x
    x = 33,020,670,584.26/84,912.05
  6. Step 6: Final answer
    x = 388,880.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.