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Finding the Third Proportional to 133,619,765 and 279,456,718

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Solution

The third proportional to 133,619,765 and 279,456,718 is: 584,464,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,619,765 : 279,456,718 = 279,456,718 : x
  2. Step 2: Convert to fraction form
    133,619,765/279,456,718 = 279,456,718/x
  3. Step 3: Cross multiply
    133,619,765x = 279,456,718 × 279,456,718
  4. Step 4: Simplify right side
    133,619,765x = 78,096,057,235,331,520
  5. Step 5: Solve for x
    x = 78,096,057,235,331,520/133,619,765
  6. Step 6: Final answer
    x = 584,464,859.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.