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Finding the Third Proportional to 159,420,396,766.50 and 351,335,747,648.25

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Solution

The third proportional to 159,420,396,766.50 and 351,335,747,648.25 is: 774,284,910,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,420,396,766.50 : 351,335,747,648.25 = 351,335,747,648.25 : x
  2. Step 2: Convert to fraction form
    159,420,396,766.50/351,335,747,648.25 = 351,335,747,648.25/x
  3. Step 3: Cross multiply
    159,420,396,766.50x = 351,335,747,648.25 × 351,335,747,648.25
  4. Step 4: Simplify right side
    159,420,396,766.50x = 123,436,807,575,554,811,232,256
  5. Step 5: Solve for x
    x = 123,436,807,575,554,811,232,256/159,420,396,766.50
  6. Step 6: Final answer
    x = 774,284,910,081.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.