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Finding the Third Proportional to 178,737,772 and 273,305,238

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Solution

The third proportional to 178,737,772 and 273,305,238 is: 417,906,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,737,772 : 273,305,238 = 273,305,238 : x
  2. Step 2: Convert to fraction form
    178,737,772/273,305,238 = 273,305,238/x
  3. Step 3: Cross multiply
    178,737,772x = 273,305,238 × 273,305,238
  4. Step 4: Simplify right side
    178,737,772x = 74,695,753,118,236,640
  5. Step 5: Solve for x
    x = 74,695,753,118,236,640/178,737,772
  6. Step 6: Final answer
    x = 417,906,927.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.