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Finding the Third Proportional to 47,997,442 and 103,656,219

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Solution

The third proportional to 47,997,442 and 103,656,219 is: 223,858,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,442 : 103,656,219 = 103,656,219 : x
  2. Step 2: Convert to fraction form
    47,997,442/103,656,219 = 103,656,219/x
  3. Step 3: Cross multiply
    47,997,442x = 103,656,219 × 103,656,219
  4. Step 4: Simplify right side
    47,997,442x = 10,744,611,737,375,960
  5. Step 5: Solve for x
    x = 10,744,611,737,375,960/47,997,442
  6. Step 6: Final answer
    x = 223,858,007.63

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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.