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Finding the Third Proportional to 133,190.58 and 199,937.74

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Solution

The third proportional to 133,190.58 and 199,937.74 is: 300,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,190.58 : 199,937.74 = 199,937.74 : x
  2. Step 2: Convert to fraction form
    133,190.58/199,937.74 = 199,937.74/x
  3. Step 3: Cross multiply
    133,190.58x = 199,937.74 × 199,937.74
  4. Step 4: Simplify right side
    133,190.58x = 39,975,100,751.04
  5. Step 5: Solve for x
    x = 39,975,100,751.04/133,190.58
  6. Step 6: Final answer
    x = 300,134.60

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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.