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Finding the Third Proportional to 109,705,755 and 228,491,569.50

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Solution

The third proportional to 109,705,755 and 228,491,569.50 is: 475,894,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705,755 : 228,491,569.50 = 228,491,569.50 : x
  2. Step 2: Convert to fraction form
    109,705,755/228,491,569.50 = 228,491,569.50/x
  3. Step 3: Cross multiply
    109,705,755x = 228,491,569.50 × 228,491,569.50
  4. Step 4: Simplify right side
    109,705,755x = 52,208,397,332,573,328
  5. Step 5: Solve for x
    x = 52,208,397,332,573,328/109,705,755
  6. Step 6: Final answer
    x = 475,894,790.87

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