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Finding the Third Proportional to 67,132,441 and 103,664,234

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Solution

The third proportional to 67,132,441 and 103,664,234 is: 160,075,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,441 : 103,664,234 = 103,664,234 : x
  2. Step 2: Convert to fraction form
    67,132,441/103,664,234 = 103,664,234/x
  3. Step 3: Cross multiply
    67,132,441x = 103,664,234 × 103,664,234
  4. Step 4: Simplify right side
    67,132,441x = 10,746,273,410,806,756
  5. Step 5: Solve for x
    x = 10,746,273,410,806,756/67,132,441
  6. Step 6: Final answer
    x = 160,075,713.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.