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Finding the Third Proportional to 91,590 and 198,732

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Solution

The third proportional to 91,590 and 198,732 is: 431,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,590 : 198,732 = 198,732 : x
  2. Step 2: Convert to fraction form
    91,590/198,732 = 198,732/x
  3. Step 3: Cross multiply
    91,590x = 198,732 × 198,732
  4. Step 4: Simplify right side
    91,590x = 39,494,407,824
  5. Step 5: Solve for x
    x = 39,494,407,824/91,590
  6. Step 6: Final answer
    x = 431,208.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.