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Finding the Third Proportional to 151,378,134 and 331,414,698

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Solution

The third proportional to 151,378,134 and 331,414,698 is: 725,571,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,378,134 : 331,414,698 = 331,414,698 : x
  2. Step 2: Convert to fraction form
    151,378,134/331,414,698 = 331,414,698/x
  3. Step 3: Cross multiply
    151,378,134x = 331,414,698 × 331,414,698
  4. Step 4: Simplify right side
    151,378,134x = 109,835,702,050,431,200
  5. Step 5: Solve for x
    x = 109,835,702,050,431,200/151,378,134
  6. Step 6: Final answer
    x = 725,571,779.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.