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Finding the Third Proportional to 85,150,211 and 186,420,787

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Solution

The third proportional to 85,150,211 and 186,420,787 is: 408,134,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,150,211 : 186,420,787 = 186,420,787 : x
  2. Step 2: Convert to fraction form
    85,150,211/186,420,787 = 186,420,787/x
  3. Step 3: Cross multiply
    85,150,211x = 186,420,787 × 186,420,787
  4. Step 4: Simplify right side
    85,150,211x = 34,752,709,825,699,368
  5. Step 5: Solve for x
    x = 34,752,709,825,699,368/85,150,211
  6. Step 6: Final answer
    x = 408,134,159.83

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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.