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Finding the Third Proportional to 91,536 and 198,024

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Solution

The third proportional to 91,536 and 198,024 is: 428,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,536 : 198,024 = 198,024 : x
  2. Step 2: Convert to fraction form
    91,536/198,024 = 198,024/x
  3. Step 3: Cross multiply
    91,536x = 198,024 × 198,024
  4. Step 4: Simplify right side
    91,536x = 39,213,504,576
  5. Step 5: Solve for x
    x = 39,213,504,576/91,536
  6. Step 6: Final answer
    x = 428,394.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.