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Finding the Third Proportional to 123,918.75 and 196,950.38

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Solution

The third proportional to 123,918.75 and 196,950.38 is: 313,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,918.75 : 196,950.38 = 196,950.38 : x
  2. Step 2: Convert to fraction form
    123,918.75/196,950.38 = 196,950.38/x
  3. Step 3: Cross multiply
    123,918.75x = 196,950.38 × 196,950.38
  4. Step 4: Simplify right side
    123,918.75x = 38,789,450,212.64
  5. Step 5: Solve for x
    x = 38,789,450,212.64/123,918.75
  6. Step 6: Final answer
    x = 313,023.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.