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Finding the Third Proportional to 191,693,976 and 419,877,568

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Solution

The third proportional to 191,693,976 and 419,877,568 is: 919,680,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,693,976 : 419,877,568 = 419,877,568 : x
  2. Step 2: Convert to fraction form
    191,693,976/419,877,568 = 419,877,568/x
  3. Step 3: Cross multiply
    191,693,976x = 419,877,568 × 419,877,568
  4. Step 4: Simplify right side
    191,693,976x = 176,297,172,109,594,624
  5. Step 5: Solve for x
    x = 176,297,172,109,594,624/191,693,976
  6. Step 6: Final answer
    x = 919,680,293.50

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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.