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Finding the Third Proportional to 191,720,734 and 419,313,676

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Solution

The third proportional to 191,720,734 and 419,313,676 is: 917,083,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,720,734 : 419,313,676 = 419,313,676 : x
  2. Step 2: Convert to fraction form
    191,720,734/419,313,676 = 419,313,676/x
  3. Step 3: Cross multiply
    191,720,734x = 419,313,676 × 419,313,676
  4. Step 4: Simplify right side
    191,720,734x = 175,823,958,880,632,960
  5. Step 5: Solve for x
    x = 175,823,958,880,632,960/191,720,734
  6. Step 6: Final answer
    x = 917,083,693.62

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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.