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Finding the Third Proportional to 212,667,784 and 318,646,896

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Solution

The third proportional to 212,667,784 and 318,646,896 is: 477,438,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,667,784 : 318,646,896 = 318,646,896 : x
  2. Step 2: Convert to fraction form
    212,667,784/318,646,896 = 318,646,896/x
  3. Step 3: Cross multiply
    212,667,784x = 318,646,896 × 318,646,896
  4. Step 4: Simplify right side
    212,667,784x = 101,535,844,330,434,816
  5. Step 5: Solve for x
    x = 101,535,844,330,434,816/212,667,784
  6. Step 6: Final answer
    x = 477,438,765.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.