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Finding the Third Proportional to 81,228.94 and 181,134.94

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Solution

The third proportional to 81,228.94 and 181,134.94 is: 403,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,228.94 : 181,134.94 = 181,134.94 : x
  2. Step 2: Convert to fraction form
    81,228.94/181,134.94 = 181,134.94/x
  3. Step 3: Cross multiply
    81,228.94x = 181,134.94 × 181,134.94
  4. Step 4: Simplify right side
    81,228.94x = 32,809,865,583.13
  5. Step 5: Solve for x
    x = 32,809,865,583.13/81,228.94
  6. Step 6: Final answer
    x = 403,918.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.