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Finding the Third Proportional to 131,722,859,240.80 and 177,725,064,924

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Solution

The third proportional to 131,722,859,240.80 and 177,725,064,924 is: 239,792,841,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,722,859,240.80 : 177,725,064,924 = 177,725,064,924 : x
  2. Step 2: Convert to fraction form
    131,722,859,240.80/177,725,064,924 = 177,725,064,924/x
  3. Step 3: Cross multiply
    131,722,859,240.80x = 177,725,064,924 × 177,725,064,924
  4. Step 4: Simplify right side
    131,722,859,240.80x = 31,586,198,702,240,015,843,328
  5. Step 5: Solve for x
    x = 31,586,198,702,240,015,843,328/131,722,859,240.80
  6. Step 6: Final answer
    x = 239,792,841,457.37

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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.