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Finding the Third Proportional to 75,188,277 and 119,639,327

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Solution

The third proportional to 75,188,277 and 119,639,327 is: 190,369,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,188,277 : 119,639,327 = 119,639,327 : x
  2. Step 2: Convert to fraction form
    75,188,277/119,639,327 = 119,639,327/x
  3. Step 3: Cross multiply
    75,188,277x = 119,639,327 × 119,639,327
  4. Step 4: Simplify right side
    75,188,277x = 14,313,568,565,012,928
  5. Step 5: Solve for x
    x = 14,313,568,565,012,928/75,188,277
  6. Step 6: Final answer
    x = 190,369,684.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.