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Finding the Third Proportional to 91,996 and 201,224

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Solution

The third proportional to 91,996 and 201,224 is: 440,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,996 : 201,224 = 201,224 : x
  2. Step 2: Convert to fraction form
    91,996/201,224 = 201,224/x
  3. Step 3: Cross multiply
    91,996x = 201,224 × 201,224
  4. Step 4: Simplify right side
    91,996x = 40,491,098,176
  5. Step 5: Solve for x
    x = 40,491,098,176/91,996
  6. Step 6: Final answer
    x = 440,139.77

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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.