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Finding the Third Proportional to 205,877,876 and 452,563,715

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Solution

The third proportional to 205,877,876 and 452,563,715 is: 994,832,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,877,876 : 452,563,715 = 452,563,715 : x
  2. Step 2: Convert to fraction form
    205,877,876/452,563,715 = 452,563,715/x
  3. Step 3: Cross multiply
    205,877,876x = 452,563,715 × 452,563,715
  4. Step 4: Simplify right side
    205,877,876x = 204,813,916,134,601,216
  5. Step 5: Solve for x
    x = 204,813,916,134,601,216/205,877,876
  6. Step 6: Final answer
    x = 994,832,082.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.