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Finding the Third Proportional to 109,705,854 and 228,491,766

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Solution

The third proportional to 109,705,854 and 228,491,766 is: 475,895,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705,854 : 228,491,766 = 228,491,766 : x
  2. Step 2: Convert to fraction form
    109,705,854/228,491,766 = 228,491,766/x
  3. Step 3: Cross multiply
    109,705,854x = 228,491,766 × 228,491,766
  4. Step 4: Simplify right side
    109,705,854x = 52,208,487,129,798,752
  5. Step 5: Solve for x
    x = 52,208,487,129,798,752/109,705,854
  6. Step 6: Final answer
    x = 475,895,179.94

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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.