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Finding the Third Proportional to 101,383,115 and 208,140,806

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Solution

The third proportional to 101,383,115 and 208,140,806 is: 427,315,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,383,115 : 208,140,806 = 208,140,806 : x
  2. Step 2: Convert to fraction form
    101,383,115/208,140,806 = 208,140,806/x
  3. Step 3: Cross multiply
    101,383,115x = 208,140,806 × 208,140,806
  4. Step 4: Simplify right side
    101,383,115x = 43,322,595,122,329,632
  5. Step 5: Solve for x
    x = 43,322,595,122,329,632/101,383,115
  6. Step 6: Final answer
    x = 427,315,683.90

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.