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Finding the Third Proportional to 48,285,304.50 and 104,801,503.50

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Solution

The third proportional to 48,285,304.50 and 104,801,503.50 is: 227,467,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,285,304.50 : 104,801,503.50 = 104,801,503.50 : x
  2. Step 2: Convert to fraction form
    48,285,304.50/104,801,503.50 = 104,801,503.50/x
  3. Step 3: Cross multiply
    48,285,304.50x = 104,801,503.50 × 104,801,503.50
  4. Step 4: Simplify right side
    48,285,304.50x = 10,983,355,135,860,512
  5. Step 5: Solve for x
    x = 10,983,355,135,860,512/48,285,304.50
  6. Step 6: Final answer
    x = 227,467,865.21

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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.