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Finding the Third Proportional to 146,265,036 and 303,867,408

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Solution

The third proportional to 146,265,036 and 303,867,408 is: 631,288,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,265,036 : 303,867,408 = 303,867,408 : x
  2. Step 2: Convert to fraction form
    146,265,036/303,867,408 = 303,867,408/x
  3. Step 3: Cross multiply
    146,265,036x = 303,867,408 × 303,867,408
  4. Step 4: Simplify right side
    146,265,036x = 92,335,401,644,638,464
  5. Step 5: Solve for x
    x = 92,335,401,644,638,464/146,265,036
  6. Step 6: Final answer
    x = 631,288,270.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.