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Finding the Third Proportional to 137,395,217 and 296,313,187

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Solution

The third proportional to 137,395,217 and 296,313,187 is: 639,043,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,395,217 : 296,313,187 = 296,313,187 : x
  2. Step 2: Convert to fraction form
    137,395,217/296,313,187 = 296,313,187/x
  3. Step 3: Cross multiply
    137,395,217x = 296,313,187 × 296,313,187
  4. Step 4: Simplify right side
    137,395,217x = 87,801,504,790,096,976
  5. Step 5: Solve for x
    x = 87,801,504,790,096,976/137,395,217
  6. Step 6: Final answer
    x = 639,043,386.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.