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Finding the Third Proportional to 166,123,032 and 362,137,980

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Solution

The third proportional to 166,123,032 and 362,137,980 is: 789,438,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,123,032 : 362,137,980 = 362,137,980 : x
  2. Step 2: Convert to fraction form
    166,123,032/362,137,980 = 362,137,980/x
  3. Step 3: Cross multiply
    166,123,032x = 362,137,980 × 362,137,980
  4. Step 4: Simplify right side
    166,123,032x = 131,143,916,558,480,400
  5. Step 5: Solve for x
    x = 131,143,916,558,480,400/166,123,032
  6. Step 6: Final answer
    x = 789,438,496.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.