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Finding the Third Proportional to 166,109,834 and 363,497,170

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Solution

The third proportional to 166,109,834 and 363,497,170 is: 795,438,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,109,834 : 363,497,170 = 363,497,170 : x
  2. Step 2: Convert to fraction form
    166,109,834/363,497,170 = 363,497,170/x
  3. Step 3: Cross multiply
    166,109,834x = 363,497,170 × 363,497,170
  4. Step 4: Simplify right side
    166,109,834x = 132,130,192,598,008,896
  5. Step 5: Solve for x
    x = 132,130,192,598,008,896/166,109,834
  6. Step 6: Final answer
    x = 795,438,713.15

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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.