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Finding the Third Proportional to 288,235,162 and 446,139,591

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Solution

The third proportional to 288,235,162 and 446,139,591 is: 690,549,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,235,162 : 446,139,591 = 446,139,591 : x
  2. Step 2: Convert to fraction form
    288,235,162/446,139,591 = 446,139,591/x
  3. Step 3: Cross multiply
    288,235,162x = 446,139,591 × 446,139,591
  4. Step 4: Simplify right side
    288,235,162x = 199,040,534,657,647,296
  5. Step 5: Solve for x
    x = 199,040,534,657,647,296/288,235,162
  6. Step 6: Final answer
    x = 690,549,110.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.