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Finding the Third Proportional to 197,379,150 and 427,707,624

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Solution

The third proportional to 197,379,150 and 427,707,624 is: 926,814,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,379,150 : 427,707,624 = 427,707,624 : x
  2. Step 2: Convert to fraction form
    197,379,150/427,707,624 = 427,707,624/x
  3. Step 3: Cross multiply
    197,379,150x = 427,707,624 × 427,707,624
  4. Step 4: Simplify right side
    197,379,150x = 182,933,811,627,725,376
  5. Step 5: Solve for x
    x = 182,933,811,627,725,376/197,379,150
  6. Step 6: Final answer
    x = 926,814,263.96

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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.