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Finding the Third Proportional to 69,242,033.25 and 149,974,394.06

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Solution

The third proportional to 69,242,033.25 and 149,974,394.06 is: 324,836,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,242,033.25 : 149,974,394.06 = 149,974,394.06 : x
  2. Step 2: Convert to fraction form
    69,242,033.25/149,974,394.06 = 149,974,394.06/x
  3. Step 3: Cross multiply
    69,242,033.25x = 149,974,394.06 × 149,974,394.06
  4. Step 4: Simplify right side
    69,242,033.25x = 22,492,318,874,414,036
  5. Step 5: Solve for x
    x = 22,492,318,874,414,036/69,242,033.25
  6. Step 6: Final answer
    x = 324,836,198.75

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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.