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Finding the Third Proportional to 109,705,865 and 228,491,788

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Solution

The third proportional to 109,705,865 and 228,491,788 is: 475,895,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705,865 : 228,491,788 = 228,491,788 : x
  2. Step 2: Convert to fraction form
    109,705,865/228,491,788 = 228,491,788/x
  3. Step 3: Cross multiply
    109,705,865x = 228,491,788 × 228,491,788
  4. Step 4: Simplify right side
    109,705,865x = 52,208,497,183,436,944
  5. Step 5: Solve for x
    x = 52,208,497,183,436,944/109,705,865
  6. Step 6: Final answer
    x = 475,895,223.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.