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Finding the Third Proportional to 129,177,108 and 283,464,864

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Solution

The third proportional to 129,177,108 and 283,464,864 is: 622,032,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,177,108 : 283,464,864 = 283,464,864 : x
  2. Step 2: Convert to fraction form
    129,177,108/283,464,864 = 283,464,864/x
  3. Step 3: Cross multiply
    129,177,108x = 283,464,864 × 283,464,864
  4. Step 4: Simplify right side
    129,177,108x = 80,352,329,122,538,496
  5. Step 5: Solve for x
    x = 80,352,329,122,538,496/129,177,108
  6. Step 6: Final answer
    x = 622,032,265.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.