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Finding the Third Proportional to 176,240,400 and 381,760,032

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Solution

The third proportional to 176,240,400 and 381,760,032 is: 826,942,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,240,400 : 381,760,032 = 381,760,032 : x
  2. Step 2: Convert to fraction form
    176,240,400/381,760,032 = 381,760,032/x
  3. Step 3: Cross multiply
    176,240,400x = 381,760,032 × 381,760,032
  4. Step 4: Simplify right side
    176,240,400x = 145,740,722,032,641,024
  5. Step 5: Solve for x
    x = 145,740,722,032,641,024/176,240,400
  6. Step 6: Final answer
    x = 826,942,755.65

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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.