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Finding the Third Proportional to 81,775,942 and 175,538,648

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Solution

The third proportional to 81,775,942 and 175,538,648 is: 376,807,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,775,942 : 175,538,648 = 175,538,648 : x
  2. Step 2: Convert to fraction form
    81,775,942/175,538,648 = 175,538,648/x
  3. Step 3: Cross multiply
    81,775,942x = 175,538,648 × 175,538,648
  4. Step 4: Simplify right side
    81,775,942x = 30,813,816,941,667,904
  5. Step 5: Solve for x
    x = 30,813,816,941,667,904/81,775,942
  6. Step 6: Final answer
    x = 376,807,850.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.