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Finding the Third Proportional to 91,811 and 201,094

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Solution

The third proportional to 91,811 and 201,094 is: 440,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,811 : 201,094 = 201,094 : x
  2. Step 2: Convert to fraction form
    91,811/201,094 = 201,094/x
  3. Step 3: Cross multiply
    91,811x = 201,094 × 201,094
  4. Step 4: Simplify right side
    91,811x = 40,438,796,836
  5. Step 5: Solve for x
    x = 40,438,796,836/91,811
  6. Step 6: Final answer
    x = 440,456.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.