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Finding the Third Proportional to 131,831,012.25 and 278,608,770

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Solution

The third proportional to 131,831,012.25 and 278,608,770 is: 588,805,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,831,012.25 : 278,608,770 = 278,608,770 : x
  2. Step 2: Convert to fraction form
    131,831,012.25/278,608,770 = 278,608,770/x
  3. Step 3: Cross multiply
    131,831,012.25x = 278,608,770 × 278,608,770
  4. Step 4: Simplify right side
    131,831,012.25x = 77,622,846,720,912,896
  5. Step 5: Solve for x
    x = 77,622,846,720,912,896/131,831,012.25
  6. Step 6: Final answer
    x = 588,805,664.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.