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Finding the Third Proportional to 138,229,346 and 296,972,601

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Solution

The third proportional to 138,229,346 and 296,972,601 is: 638,017,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,229,346 : 296,972,601 = 296,972,601 : x
  2. Step 2: Convert to fraction form
    138,229,346/296,972,601 = 296,972,601/x
  3. Step 3: Cross multiply
    138,229,346x = 296,972,601 × 296,972,601
  4. Step 4: Simplify right side
    138,229,346x = 88,192,725,744,705,200
  5. Step 5: Solve for x
    x = 88,192,725,744,705,200/138,229,346
  6. Step 6: Final answer
    x = 638,017,384.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.