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Finding the Third Proportional to 47,197.69 and 91,999.55

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Solution

The third proportional to 47,197.69 and 91,999.55 is: 179,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,197.69 : 91,999.55 = 91,999.55 : x
  2. Step 2: Convert to fraction form
    47,197.69/91,999.55 = 91,999.55/x
  3. Step 3: Cross multiply
    47,197.69x = 91,999.55 × 91,999.55
  4. Step 4: Simplify right side
    47,197.69x = 8,463,916,625.21
  5. Step 5: Solve for x
    x = 8,463,916,625.21/47,197.69
  6. Step 6: Final answer
    x = 179,329.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.