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Finding the Third Proportional to 91,350 and 199,308

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Solution

The third proportional to 91,350 and 199,308 is: 434,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,350 : 199,308 = 199,308 : x
  2. Step 2: Convert to fraction form
    91,350/199,308 = 199,308/x
  3. Step 3: Cross multiply
    91,350x = 199,308 × 199,308
  4. Step 4: Simplify right side
    91,350x = 39,723,678,864
  5. Step 5: Solve for x
    x = 39,723,678,864/91,350
  6. Step 6: Final answer
    x = 434,851.44

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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.