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Finding the Third Proportional to 91,349 and 199,299

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Solution

The third proportional to 91,349 and 199,299 is: 434,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,349 : 199,299 = 199,299 : x
  2. Step 2: Convert to fraction form
    91,349/199,299 = 199,299/x
  3. Step 3: Cross multiply
    91,349x = 199,299 × 199,299
  4. Step 4: Simplify right side
    91,349x = 39,720,091,401
  5. Step 5: Solve for x
    x = 39,720,091,401/91,349
  6. Step 6: Final answer
    x = 434,816.93

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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.