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Finding the Third Proportional to 47,596.50 and 103,399.13

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Solution

The third proportional to 47,596.50 and 103,399.13 is: 224,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,596.50 : 103,399.13 = 103,399.13 : x
  2. Step 2: Convert to fraction form
    47,596.50/103,399.13 = 103,399.13/x
  3. Step 3: Cross multiply
    47,596.50x = 103,399.13 × 103,399.13
  4. Step 4: Simplify right side
    47,596.50x = 10,691,379,050.77
  5. Step 5: Solve for x
    x = 10,691,379,050.77/47,596.50
  6. Step 6: Final answer
    x = 224,625.32

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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.