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Finding the Third Proportional to 205,597,915,743 and 450,912,543,180

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Solution

The third proportional to 205,597,915,743 and 450,912,543,180 is: 988,930,850,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,597,915,743 : 450,912,543,180 = 450,912,543,180 : x
  2. Step 2: Convert to fraction form
    205,597,915,743/450,912,543,180 = 450,912,543,180/x
  3. Step 3: Cross multiply
    205,597,915,743x = 450,912,543,180 × 450,912,543,180
  4. Step 4: Simplify right side
    205,597,915,743x = 203,322,121,597,055,374,721,024
  5. Step 5: Solve for x
    x = 203,322,121,597,055,374,721,024/205,597,915,743
  6. Step 6: Final answer
    x = 988,930,850,112.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.