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Finding the Third Proportional to 195,685,033.50 and 419,381,766

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Solution

The third proportional to 195,685,033.50 and 419,381,766 is: 898,796,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,685,033.50 : 419,381,766 = 419,381,766 : x
  2. Step 2: Convert to fraction form
    195,685,033.50/419,381,766 = 419,381,766/x
  3. Step 3: Cross multiply
    195,685,033.50x = 419,381,766 × 419,381,766
  4. Step 4: Simplify right side
    195,685,033.50x = 175,881,065,653,278,752
  5. Step 5: Solve for x
    x = 175,881,065,653,278,752/195,685,033.50
  6. Step 6: Final answer
    x = 898,796,716.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.