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Finding the Third Proportional to 100,093.50 and 236,268

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Solution

The third proportional to 100,093.50 and 236,268 is: 557,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,093.50 : 236,268 = 236,268 : x
  2. Step 2: Convert to fraction form
    100,093.50/236,268 = 236,268/x
  3. Step 3: Cross multiply
    100,093.50x = 236,268 × 236,268
  4. Step 4: Simplify right side
    100,093.50x = 55,822,567,824
  5. Step 5: Solve for x
    x = 55,822,567,824/100,093.50
  6. Step 6: Final answer
    x = 557,704.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.