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Finding the Third Proportional to 56,998.69 and 111,377.53

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Solution

The third proportional to 56,998.69 and 111,377.53 is: 217,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,998.69 : 111,377.53 = 111,377.53 : x
  2. Step 2: Convert to fraction form
    56,998.69/111,377.53 = 111,377.53/x
  3. Step 3: Cross multiply
    56,998.69x = 111,377.53 × 111,377.53
  4. Step 4: Simplify right side
    56,998.69x = 12,404,954,467.34
  5. Step 5: Solve for x
    x = 12,404,954,467.34/56,998.69
  6. Step 6: Final answer
    x = 217,635.79

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.