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Finding the Third Proportional to 178,737,768 and 273,305,232

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Solution

The third proportional to 178,737,768 and 273,305,232 is: 417,906,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,737,768 : 273,305,232 = 273,305,232 : x
  2. Step 2: Convert to fraction form
    178,737,768/273,305,232 = 273,305,232/x
  3. Step 3: Cross multiply
    178,737,768x = 273,305,232 × 273,305,232
  4. Step 4: Simplify right side
    178,737,768x = 74,695,749,838,573,824
  5. Step 5: Solve for x
    x = 74,695,749,838,573,824/178,737,768
  6. Step 6: Final answer
    x = 417,906,918.47

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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.