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Finding the Third Proportional to 91,411 and 199,224

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Solution

The third proportional to 91,411 and 199,224 is: 434,195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,411 : 199,224 = 199,224 : x
  2. Step 2: Convert to fraction form
    91,411/199,224 = 199,224/x
  3. Step 3: Cross multiply
    91,411x = 199,224 × 199,224
  4. Step 4: Simplify right side
    91,411x = 39,690,202,176
  5. Step 5: Solve for x
    x = 39,690,202,176/91,411
  6. Step 6: Final answer
    x = 434,195.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.