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Finding the Third Proportional to 96,343.75 and 203,074.25

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Solution

The third proportional to 96,343.75 and 203,074.25 is: 428,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,343.75 : 203,074.25 = 203,074.25 : x
  2. Step 2: Convert to fraction form
    96,343.75/203,074.25 = 203,074.25/x
  3. Step 3: Cross multiply
    96,343.75x = 203,074.25 × 203,074.25
  4. Step 4: Simplify right side
    96,343.75x = 41,239,151,013.06
  5. Step 5: Solve for x
    x = 41,239,151,013.06/96,343.75
  6. Step 6: Final answer
    x = 428,041.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.