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Finding the Third Proportional to 166,972,602 and 363,587,802

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Solution

The third proportional to 166,972,602 and 363,587,802 is: 791,723,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,972,602 : 363,587,802 = 363,587,802 : x
  2. Step 2: Convert to fraction form
    166,972,602/363,587,802 = 363,587,802/x
  3. Step 3: Cross multiply
    166,972,602x = 363,587,802 × 363,587,802
  4. Step 4: Simplify right side
    166,972,602x = 132,196,089,763,191,200
  5. Step 5: Solve for x
    x = 132,196,089,763,191,200/166,972,602
  6. Step 6: Final answer
    x = 791,723,241.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.