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Finding the Third Proportional to 38,278,999.50 and 83,998,497

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Solution

The third proportional to 38,278,999.50 and 83,998,497 is: 184,324,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278,999.50 : 83,998,497 = 83,998,497 : x
  2. Step 2: Convert to fraction form
    38,278,999.50/83,998,497 = 83,998,497/x
  3. Step 3: Cross multiply
    38,278,999.50x = 83,998,497 × 83,998,497
  4. Step 4: Simplify right side
    38,278,999.50x = 7,055,747,498,259,009
  5. Step 5: Solve for x
    x = 7,055,747,498,259,009/38,278,999.50
  6. Step 6: Final answer
    x = 184,324,240.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.