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Finding the Third Proportional to 203,896,883,725.59 and 319,854,040,231.50

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Solution

The third proportional to 203,896,883,725.59 and 319,854,040,231.50 is: 501,756,599,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,896,883,725.59 : 319,854,040,231.50 = 319,854,040,231.50 : x
  2. Step 2: Convert to fraction form
    203,896,883,725.59/319,854,040,231.50 = 319,854,040,231.50/x
  3. Step 3: Cross multiply
    203,896,883,725.59x = 319,854,040,231.50 × 319,854,040,231.50
  4. Step 4: Simplify right side
    203,896,883,725.59x = 102,306,607,052,414,020,222,976
  5. Step 5: Solve for x
    x = 102,306,607,052,414,020,222,976/203,896,883,725.59
  6. Step 6: Final answer
    x = 501,756,599,625.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.