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Finding the Third Proportional to 191,930,222 and 414,442,876

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Solution

The third proportional to 191,930,222 and 414,442,876 is: 894,923,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,930,222 : 414,442,876 = 414,442,876 : x
  2. Step 2: Convert to fraction form
    191,930,222/414,442,876 = 414,442,876/x
  3. Step 3: Cross multiply
    191,930,222x = 414,442,876 × 414,442,876
  4. Step 4: Simplify right side
    191,930,222x = 171,762,897,467,151,360
  5. Step 5: Solve for x
    x = 171,762,897,467,151,360/191,930,222
  6. Step 6: Final answer
    x = 894,923,663.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.