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Finding the Third Proportional to 76,193,104 and 166,942,697

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Solution

The third proportional to 76,193,104 and 166,942,697 is: 365,779,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193,104 : 166,942,697 = 166,942,697 : x
  2. Step 2: Convert to fraction form
    76,193,104/166,942,697 = 166,942,697/x
  3. Step 3: Cross multiply
    76,193,104x = 166,942,697 × 166,942,697
  4. Step 4: Simplify right side
    76,193,104x = 27,869,864,081,633,808
  5. Step 5: Solve for x
    x = 27,869,864,081,633,808/76,193,104
  6. Step 6: Final answer
    x = 365,779,350.34

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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.