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Finding the Third Proportional to 47,997,434 and 103,656,203

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Solution

The third proportional to 47,997,434 and 103,656,203 is: 223,857,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,434 : 103,656,203 = 103,656,203 : x
  2. Step 2: Convert to fraction form
    47,997,434/103,656,203 = 103,656,203/x
  3. Step 3: Cross multiply
    47,997,434x = 103,656,203 × 103,656,203
  4. Step 4: Simplify right side
    47,997,434x = 10,744,608,420,377,208
  5. Step 5: Solve for x
    x = 10,744,608,420,377,208/47,997,434
  6. Step 6: Final answer
    x = 223,857,975.83

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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.