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Finding the Third Proportional to 150,911,072 and 323,335,672

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Solution

The third proportional to 150,911,072 and 323,335,672 is: 692,765,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,911,072 : 323,335,672 = 323,335,672 : x
  2. Step 2: Convert to fraction form
    150,911,072/323,335,672 = 323,335,672/x
  3. Step 3: Cross multiply
    150,911,072x = 323,335,672 × 323,335,672
  4. Step 4: Simplify right side
    150,911,072x = 104,545,956,787,691,584
  5. Step 5: Solve for x
    x = 104,545,956,787,691,584/150,911,072
  6. Step 6: Final answer
    x = 692,765,318.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.