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Finding the Third Proportional to 175,338,650 and 381,195,932

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Solution

The third proportional to 175,338,650 and 381,195,932 is: 828,741,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,338,650 : 381,195,932 = 381,195,932 : x
  2. Step 2: Convert to fraction form
    175,338,650/381,195,932 = 381,195,932/x
  3. Step 3: Cross multiply
    175,338,650x = 381,195,932 × 381,195,932
  4. Step 4: Simplify right side
    175,338,650x = 145,310,338,573,348,608
  5. Step 5: Solve for x
    x = 145,310,338,573,348,608/175,338,650
  6. Step 6: Final answer
    x = 828,741,059.51

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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.