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Finding the Third Proportional to 91,764.75 and 203,182.13

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Solution

The third proportional to 91,764.75 and 203,182.13 is: 449,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,764.75 : 203,182.13 = 203,182.13 : x
  2. Step 2: Convert to fraction form
    91,764.75/203,182.13 = 203,182.13/x
  3. Step 3: Cross multiply
    91,764.75x = 203,182.13 × 203,182.13
  4. Step 4: Simplify right side
    91,764.75x = 41,282,975,919.52
  5. Step 5: Solve for x
    x = 41,282,975,919.52/91,764.75
  6. Step 6: Final answer
    x = 449,878.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.