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Finding the Third Proportional to 37,458,085.50 and 81,723,198.38

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Solution

The third proportional to 37,458,085.50 and 81,723,198.38 is: 178,297,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,458,085.50 : 81,723,198.38 = 81,723,198.38 : x
  2. Step 2: Convert to fraction form
    37,458,085.50/81,723,198.38 = 81,723,198.38/x
  3. Step 3: Cross multiply
    37,458,085.50x = 81,723,198.38 × 81,723,198.38
  4. Step 4: Simplify right side
    37,458,085.50x = 6,678,681,152,639,603
  5. Step 5: Solve for x
    x = 6,678,681,152,639,603/37,458,085.50
  6. Step 6: Final answer
    x = 178,297,450.70

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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.