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Finding the Third Proportional to 54,942,259,402.50 and 119,012,105,170.12

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Solution

The third proportional to 54,942,259,402.50 and 119,012,105,170.12 is: 257,795,753,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,942,259,402.50 : 119,012,105,170.12 = 119,012,105,170.12 : x
  2. Step 2: Convert to fraction form
    54,942,259,402.50/119,012,105,170.12 = 119,012,105,170.12/x
  3. Step 3: Cross multiply
    54,942,259,402.50x = 119,012,105,170.12 × 119,012,105,170.12
  4. Step 4: Simplify right side
    54,942,259,402.50x = 14,163,881,177,023,703,416,832
  5. Step 5: Solve for x
    x = 14,163,881,177,023,703,416,832/54,942,259,402.50
  6. Step 6: Final answer
    x = 257,795,753,779.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.