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Finding the Third Proportional to 133,189.31 and 199,935.84

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Solution

The third proportional to 133,189.31 and 199,935.84 is: 300,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,189.31 : 199,935.84 = 199,935.84 : x
  2. Step 2: Convert to fraction form
    133,189.31/199,935.84 = 199,935.84/x
  3. Step 3: Cross multiply
    133,189.31x = 199,935.84 × 199,935.84
  4. Step 4: Simplify right side
    133,189.31x = 39,974,341,616.02
  5. Step 5: Solve for x
    x = 39,974,341,616.02/133,189.31
  6. Step 6: Final answer
    x = 300,131.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.