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Finding the Third Proportional to 166,170,832 and 384,655,408

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Solution

The third proportional to 166,170,832 and 384,655,408 is: 890,407,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,170,832 : 384,655,408 = 384,655,408 : x
  2. Step 2: Convert to fraction form
    166,170,832/384,655,408 = 384,655,408/x
  3. Step 3: Cross multiply
    166,170,832x = 384,655,408 × 384,655,408
  4. Step 4: Simplify right side
    166,170,832x = 147,959,782,903,646,464
  5. Step 5: Solve for x
    x = 147,959,782,903,646,464/166,170,832
  6. Step 6: Final answer
    x = 890,407,667.36

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.