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Finding the Third Proportional to 91,529 and 200,554

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Solution

The third proportional to 91,529 and 200,554 is: 439,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,529 : 200,554 = 200,554 : x
  2. Step 2: Convert to fraction form
    91,529/200,554 = 200,554/x
  3. Step 3: Cross multiply
    91,529x = 200,554 × 200,554
  4. Step 4: Simplify right side
    91,529x = 40,221,906,916
  5. Step 5: Solve for x
    x = 40,221,906,916/91,529
  6. Step 6: Final answer
    x = 439,444.40

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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.