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Finding the Third Proportional to 131,722,898,690 and 177,725,115,786

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Solution

The third proportional to 131,722,898,690 and 177,725,115,786 is: 239,792,906,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,722,898,690 : 177,725,115,786 = 177,725,115,786 : x
  2. Step 2: Convert to fraction form
    131,722,898,690/177,725,115,786 = 177,725,115,786/x
  3. Step 3: Cross multiply
    131,722,898,690x = 177,725,115,786 × 177,725,115,786
  4. Step 4: Simplify right side
    131,722,898,690x = 31,586,216,781,147,105,394,688
  5. Step 5: Solve for x
    x = 31,586,216,781,147,105,394,688/131,722,898,690
  6. Step 6: Final answer
    x = 239,792,906,892.24

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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.