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Finding the Third Proportional to 123,894.56 and 196,918.59

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Solution

The third proportional to 123,894.56 and 196,918.59 is: 312,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,894.56 : 196,918.59 = 196,918.59 : x
  2. Step 2: Convert to fraction form
    123,894.56/196,918.59 = 196,918.59/x
  3. Step 3: Cross multiply
    123,894.56x = 196,918.59 × 196,918.59
  4. Step 4: Simplify right side
    123,894.56x = 38,776,932,564.48
  5. Step 5: Solve for x
    x = 38,776,932,564.48/123,894.56
  6. Step 6: Final answer
    x = 312,983.33

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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.