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Finding the Third Proportional to 91,222 and 200,426

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Solution

The third proportional to 91,222 and 200,426 is: 440,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,222 : 200,426 = 200,426 : x
  2. Step 2: Convert to fraction form
    91,222/200,426 = 200,426/x
  3. Step 3: Cross multiply
    91,222x = 200,426 × 200,426
  4. Step 4: Simplify right side
    91,222x = 40,170,581,476
  5. Step 5: Solve for x
    x = 40,170,581,476/91,222
  6. Step 6: Final answer
    x = 440,360.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.