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Finding the Third Proportional to 192,305,214 and 413,769,708

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Solution

The third proportional to 192,305,214 and 413,769,708 is: 890,279,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,305,214 : 413,769,708 = 413,769,708 : x
  2. Step 2: Convert to fraction form
    192,305,214/413,769,708 = 413,769,708/x
  3. Step 3: Cross multiply
    192,305,214x = 413,769,708 × 413,769,708
  4. Step 4: Simplify right side
    192,305,214x = 171,205,371,258,405,248
  5. Step 5: Solve for x
    x = 171,205,371,258,405,248/192,305,214
  6. Step 6: Final answer
    x = 890,279,403.75

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