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Finding the Third Proportional to 123,905.25 and 196,933.50

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Solution

The third proportional to 123,905.25 and 196,933.50 is: 313,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,905.25 : 196,933.50 = 196,933.50 : x
  2. Step 2: Convert to fraction form
    123,905.25/196,933.50 = 196,933.50/x
  3. Step 3: Cross multiply
    123,905.25x = 196,933.50 × 196,933.50
  4. Step 4: Simplify right side
    123,905.25x = 38,782,803,422.25
  5. Step 5: Solve for x
    x = 38,782,803,422.25/123,905.25
  6. Step 6: Final answer
    x = 313,003.71

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