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Finding the Third Proportional to 46,144.69 and 99,361.69

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Solution

The third proportional to 46,144.69 and 99,361.69 is: 213,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,144.69 : 99,361.69 = 99,361.69 : x
  2. Step 2: Convert to fraction form
    46,144.69/99,361.69 = 99,361.69/x
  3. Step 3: Cross multiply
    46,144.69x = 99,361.69 × 99,361.69
  4. Step 4: Simplify right side
    46,144.69x = 9,872,744,942.85
  5. Step 5: Solve for x
    x = 9,872,744,942.85/46,144.69
  6. Step 6: Final answer
    x = 213,951.93

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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.