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Finding the Third Proportional to 47,336.25 and 102,053.63

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Solution

The third proportional to 47,336.25 and 102,053.63 is: 220,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,336.25 : 102,053.63 = 102,053.63 : x
  2. Step 2: Convert to fraction form
    47,336.25/102,053.63 = 102,053.63/x
  3. Step 3: Cross multiply
    47,336.25x = 102,053.63 × 102,053.63
  4. Step 4: Simplify right side
    47,336.25x = 10,414,942,375.64
  5. Step 5: Solve for x
    x = 10,414,942,375.64/47,336.25
  6. Step 6: Final answer
    x = 220,020.44

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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.