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Finding the Third Proportional to 123,892.03 and 196,914.80

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Solution

The third proportional to 123,892.03 and 196,914.80 is: 312,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,892.03 : 196,914.80 = 196,914.80 : x
  2. Step 2: Convert to fraction form
    123,892.03/196,914.80 = 196,914.80/x
  3. Step 3: Cross multiply
    123,892.03x = 196,914.80 × 196,914.80
  4. Step 4: Simplify right side
    123,892.03x = 38,775,437,228.32
  5. Step 5: Solve for x
    x = 38,775,437,228.32/123,892.03
  6. Step 6: Final answer
    x = 312,977.65

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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.