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Finding the Third Proportional to 87,783,132 and 191,019,641

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Solution

The third proportional to 87,783,132 and 191,019,641 is: 415,666,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,783,132 : 191,019,641 = 191,019,641 : x
  2. Step 2: Convert to fraction form
    87,783,132/191,019,641 = 191,019,641/x
  3. Step 3: Cross multiply
    87,783,132x = 191,019,641 × 191,019,641
  4. Step 4: Simplify right side
    87,783,132x = 36,488,503,247,768,880
  5. Step 5: Solve for x
    x = 36,488,503,247,768,880/87,783,132
  6. Step 6: Final answer
    x = 415,666,454.55

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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.