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Finding the Third Proportional to 201,837,524 and 441,886,288

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Solution

The third proportional to 201,837,524 and 441,886,288 is: 967,429,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,837,524 : 441,886,288 = 441,886,288 : x
  2. Step 2: Convert to fraction form
    201,837,524/441,886,288 = 441,886,288/x
  3. Step 3: Cross multiply
    201,837,524x = 441,886,288 × 441,886,288
  4. Step 4: Simplify right side
    201,837,524x = 195,263,491,522,418,944
  5. Step 5: Solve for x
    x = 195,263,491,522,418,944/201,837,524
  6. Step 6: Final answer
    x = 967,429,086.79

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