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Finding the Third Proportional to 64,172,664.75 and 140,104,824.75

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Solution

The third proportional to 64,172,664.75 and 140,104,824.75 is: 305,883,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,172,664.75 : 140,104,824.75 = 140,104,824.75 : x
  2. Step 2: Convert to fraction form
    64,172,664.75/140,104,824.75 = 140,104,824.75/x
  3. Step 3: Cross multiply
    64,172,664.75x = 140,104,824.75 × 140,104,824.75
  4. Step 4: Simplify right side
    64,172,664.75x = 19,629,361,918,228,212
  5. Step 5: Solve for x
    x = 19,629,361,918,228,212/64,172,664.75
  6. Step 6: Final answer
    x = 305,883,540.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.