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Finding the Third Proportional to 131,722,898,680 and 177,725,115,771

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Solution

The third proportional to 131,722,898,680 and 177,725,115,771 is: 239,792,906,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,722,898,680 : 177,725,115,771 = 177,725,115,771 : x
  2. Step 2: Convert to fraction form
    131,722,898,680/177,725,115,771 = 177,725,115,771/x
  3. Step 3: Cross multiply
    131,722,898,680x = 177,725,115,771 × 177,725,115,771
  4. Step 4: Simplify right side
    131,722,898,680x = 31,586,216,775,815,352,287,232
  5. Step 5: Solve for x
    x = 31,586,216,775,815,352,287,232/131,722,898,680
  6. Step 6: Final answer
    x = 239,792,906,869.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.