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Finding the Third Proportional to 91,857.38 and 196,836.75

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Solution

The third proportional to 91,857.38 and 196,836.75 is: 421,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,857.38 : 196,836.75 = 196,836.75 : x
  2. Step 2: Convert to fraction form
    91,857.38/196,836.75 = 196,836.75/x
  3. Step 3: Cross multiply
    91,857.38x = 196,836.75 × 196,836.75
  4. Step 4: Simplify right side
    91,857.38x = 38,744,706,150.56
  5. Step 5: Solve for x
    x = 38,744,706,150.56/91,857.38
  6. Step 6: Final answer
    x = 421,792.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.