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Finding the Third Proportional to 101,845,256 and 208,396,939

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Solution

The third proportional to 101,845,256 and 208,396,939 is: 426,424,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,845,256 : 208,396,939 = 208,396,939 : x
  2. Step 2: Convert to fraction form
    101,845,256/208,396,939 = 208,396,939/x
  3. Step 3: Cross multiply
    101,845,256x = 208,396,939 × 208,396,939
  4. Step 4: Simplify right side
    101,845,256x = 43,429,284,184,569,720
  5. Step 5: Solve for x
    x = 43,429,284,184,569,720/101,845,256
  6. Step 6: Final answer
    x = 426,424,223.28

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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.