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Finding the Third Proportional to 114,327,016 and 243,401,744

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Solution

The third proportional to 114,327,016 and 243,401,744 is: 518,201,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,327,016 : 243,401,744 = 243,401,744 : x
  2. Step 2: Convert to fraction form
    114,327,016/243,401,744 = 243,401,744/x
  3. Step 3: Cross multiply
    114,327,016x = 243,401,744 × 243,401,744
  4. Step 4: Simplify right side
    114,327,016x = 59,244,408,982,241,536
  5. Step 5: Solve for x
    x = 59,244,408,982,241,536/114,327,016
  6. Step 6: Final answer
    x = 518,201,305.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.