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Finding the Third Proportional to 91,048 and 198,700

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Solution

The third proportional to 91,048 and 198,700 is: 433,635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,048 : 198,700 = 198,700 : x
  2. Step 2: Convert to fraction form
    91,048/198,700 = 198,700/x
  3. Step 3: Cross multiply
    91,048x = 198,700 × 198,700
  4. Step 4: Simplify right side
    91,048x = 39,481,690,000
  5. Step 5: Solve for x
    x = 39,481,690,000/91,048
  6. Step 6: Final answer
    x = 433,635.99

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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.