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Finding the Third Proportional to 166,109,832 and 363,497,166

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Solution

The third proportional to 166,109,832 and 363,497,166 is: 795,438,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,109,832 : 363,497,166 = 363,497,166 : x
  2. Step 2: Convert to fraction form
    166,109,832/363,497,166 = 363,497,166/x
  3. Step 3: Cross multiply
    166,109,832x = 363,497,166 × 363,497,166
  4. Step 4: Simplify right side
    166,109,832x = 132,130,189,690,031,552
  5. Step 5: Solve for x
    x = 132,130,189,690,031,552/166,109,832
  6. Step 6: Final answer
    x = 795,438,705.22

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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.