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Finding the Third Proportional to 149,133,085 and 324,080,512

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Solution

The third proportional to 149,133,085 and 324,080,512 is: 704,258,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,085 : 324,080,512 = 324,080,512 : x
  2. Step 2: Convert to fraction form
    149,133,085/324,080,512 = 324,080,512/x
  3. Step 3: Cross multiply
    149,133,085x = 324,080,512 × 324,080,512
  4. Step 4: Simplify right side
    149,133,085x = 105,028,178,258,182,144
  5. Step 5: Solve for x
    x = 105,028,178,258,182,144/149,133,085
  6. Step 6: Final answer
    x = 704,258,067.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.