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Finding the Third Proportional to 114,757,357.50 and 172,472,361.75

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Solution

The third proportional to 114,757,357.50 and 172,472,361.75 is: 259,214,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,757,357.50 : 172,472,361.75 = 172,472,361.75 : x
  2. Step 2: Convert to fraction form
    114,757,357.50/172,472,361.75 = 172,472,361.75/x
  3. Step 3: Cross multiply
    114,757,357.50x = 172,472,361.75 × 172,472,361.75
  4. Step 4: Simplify right side
    114,757,357.50x = 29,746,715,567,622,864
  5. Step 5: Solve for x
    x = 29,746,715,567,622,864/114,757,357.50
  6. Step 6: Final answer
    x = 259,214,016.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.