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Finding the Third Proportional to 91,769.50 and 203,191.75

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Solution

The third proportional to 91,769.50 and 203,191.75 is: 449,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,769.50 : 203,191.75 = 203,191.75 : x
  2. Step 2: Convert to fraction form
    91,769.50/203,191.75 = 203,191.75/x
  3. Step 3: Cross multiply
    91,769.50x = 203,191.75 × 203,191.75
  4. Step 4: Simplify right side
    91,769.50x = 41,286,887,268.06
  5. Step 5: Solve for x
    x = 41,286,887,268.06/91,769.50
  6. Step 6: Final answer
    x = 449,897.70

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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.