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Finding the Third Proportional to 84,365.44 and 183,493.13

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Solution

The third proportional to 84,365.44 and 183,493.13 is: 399,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,365.44 : 183,493.13 = 183,493.13 : x
  2. Step 2: Convert to fraction form
    84,365.44/183,493.13 = 183,493.13/x
  3. Step 3: Cross multiply
    84,365.44x = 183,493.13 × 183,493.13
  4. Step 4: Simplify right side
    84,365.44x = 33,669,726,922.27
  5. Step 5: Solve for x
    x = 33,669,726,922.27/84,365.44
  6. Step 6: Final answer
    x = 399,093.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.