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Finding the Third Proportional to 137,395,221 and 296,313,195

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Solution

The third proportional to 137,395,221 and 296,313,195 is: 639,043,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,395,221 : 296,313,195 = 296,313,195 : x
  2. Step 2: Convert to fraction form
    137,395,221/296,313,195 = 296,313,195/x
  3. Step 3: Cross multiply
    137,395,221x = 296,313,195 × 296,313,195
  4. Step 4: Simplify right side
    137,395,221x = 87,801,509,531,108,032
  5. Step 5: Solve for x
    x = 87,801,509,531,108,032/137,395,221
  6. Step 6: Final answer
    x = 639,043,402.62

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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.