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Finding the Third Proportional to 91,539 and 197,883.25

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Solution

The third proportional to 91,539 and 197,883.25 is: 427,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,539 : 197,883.25 = 197,883.25 : x
  2. Step 2: Convert to fraction form
    91,539/197,883.25 = 197,883.25/x
  3. Step 3: Cross multiply
    91,539x = 197,883.25 × 197,883.25
  4. Step 4: Simplify right side
    91,539x = 39,157,780,630.56
  5. Step 5: Solve for x
    x = 39,157,780,630.56/91,539
  6. Step 6: Final answer
    x = 427,771.56

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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.