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Finding the Third Proportional to 101,383,117 and 208,140,809

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Solution

The third proportional to 101,383,117 and 208,140,809 is: 427,315,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,383,117 : 208,140,809 = 208,140,809 : x
  2. Step 2: Convert to fraction form
    101,383,117/208,140,809 = 208,140,809/x
  3. Step 3: Cross multiply
    101,383,117x = 208,140,809 × 208,140,809
  4. Step 4: Simplify right side
    101,383,117x = 43,322,596,371,174,480
  5. Step 5: Solve for x
    x = 43,322,596,371,174,480/101,383,117
  6. Step 6: Final answer
    x = 427,315,687.79

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Why These Related Problems?

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