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Finding the Third Proportional to 91,892.25 and 201,471.75

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Solution

The third proportional to 91,892.25 and 201,471.75 is: 441,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,892.25 : 201,471.75 = 201,471.75 : x
  2. Step 2: Convert to fraction form
    91,892.25/201,471.75 = 201,471.75/x
  3. Step 3: Cross multiply
    91,892.25x = 201,471.75 × 201,471.75
  4. Step 4: Simplify right side
    91,892.25x = 40,590,866,048.06
  5. Step 5: Solve for x
    x = 40,590,866,048.06/91,892.25
  6. Step 6: Final answer
    x = 441,722.41

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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.