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Finding the Third Proportional to 208,077,876 and 452,785,834.50

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Solution

The third proportional to 208,077,876 and 452,785,834.50 is: 985,280,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,077,876 : 452,785,834.50 = 452,785,834.50 : x
  2. Step 2: Convert to fraction form
    208,077,876/452,785,834.50 = 452,785,834.50/x
  3. Step 3: Cross multiply
    208,077,876x = 452,785,834.50 × 452,785,834.50
  4. Step 4: Simplify right side
    208,077,876x = 205,015,011,923,861,376
  5. Step 5: Solve for x
    x = 205,015,011,923,861,376/208,077,876
  6. Step 6: Final answer
    x = 985,280,203.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.