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Finding the Third Proportional to 166,148,419 and 363,618,182

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Solution

The third proportional to 166,148,419 and 363,618,182 is: 795,783,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,148,419 : 363,618,182 = 363,618,182 : x
  2. Step 2: Convert to fraction form
    166,148,419/363,618,182 = 363,618,182/x
  3. Step 3: Cross multiply
    166,148,419x = 363,618,182 × 363,618,182
  4. Step 4: Simplify right side
    166,148,419x = 132,218,182,280,985,120
  5. Step 5: Solve for x
    x = 132,218,182,280,985,120/166,148,419
  6. Step 6: Final answer
    x = 795,783,571.56

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Why These Related Problems?

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