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Finding the Third Proportional to 48,895,508 and 103,620,220

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Solution

The third proportional to 48,895,508 and 103,620,220 is: 219,593,791.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,895,508 : 103,620,220 = 103,620,220 : x
  2. Step 2: Convert to fraction form
    48,895,508/103,620,220 = 103,620,220/x
  3. Step 3: Cross multiply
    48,895,508x = 103,620,220 × 103,620,220
  4. Step 4: Simplify right side
    48,895,508x = 10,737,149,992,848,400
  5. Step 5: Solve for x
    x = 10,737,149,992,848,400/48,895,508
  6. Step 6: Final answer
    x = 219,593,791.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.