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Finding the Third Proportional to 43,310,851 and 96,305,326

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Solution

The third proportional to 43,310,851 and 96,305,326 is: 214,143,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,310,851 : 96,305,326 = 96,305,326 : x
  2. Step 2: Convert to fraction form
    43,310,851/96,305,326 = 96,305,326/x
  3. Step 3: Cross multiply
    43,310,851x = 96,305,326 × 96,305,326
  4. Step 4: Simplify right side
    43,310,851x = 9,274,715,815,966,276
  5. Step 5: Solve for x
    x = 9,274,715,815,966,276/43,310,851
  6. Step 6: Final answer
    x = 214,143,005.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.