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Finding the Third Proportional to 137,395,206 and 296,313,165

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Solution

The third proportional to 137,395,206 and 296,313,165 is: 639,043,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,395,206 : 296,313,165 = 296,313,165 : x
  2. Step 2: Convert to fraction form
    137,395,206/296,313,165 = 296,313,165/x
  3. Step 3: Cross multiply
    137,395,206x = 296,313,165 × 296,313,165
  4. Step 4: Simplify right side
    137,395,206x = 87,801,491,752,317,232
  5. Step 5: Solve for x
    x = 87,801,491,752,317,232/137,395,206
  6. Step 6: Final answer
    x = 639,043,342.98

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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.