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Finding the Third Proportional to 178,737,770 and 273,305,235

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Solution

The third proportional to 178,737,770 and 273,305,235 is: 417,906,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,737,770 : 273,305,235 = 273,305,235 : x
  2. Step 2: Convert to fraction form
    178,737,770/273,305,235 = 273,305,235/x
  3. Step 3: Cross multiply
    178,737,770x = 273,305,235 × 273,305,235
  4. Step 4: Simplify right side
    178,737,770x = 74,695,751,478,405,232
  5. Step 5: Solve for x
    x = 74,695,751,478,405,232/178,737,770
  6. Step 6: Final answer
    x = 417,906,922.97

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