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Finding the Third Proportional to 49,115,174 and 106,943,874

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Solution

The third proportional to 49,115,174 and 106,943,874 is: 232,860,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,115,174 : 106,943,874 = 106,943,874 : x
  2. Step 2: Convert to fraction form
    49,115,174/106,943,874 = 106,943,874/x
  3. Step 3: Cross multiply
    49,115,174x = 106,943,874 × 106,943,874
  4. Step 4: Simplify right side
    49,115,174x = 11,436,992,186,127,876
  5. Step 5: Solve for x
    x = 11,436,992,186,127,876/49,115,174
  6. Step 6: Final answer
    x = 232,860,667.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.