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Finding the Third Proportional to 191,720,724 and 419,313,656

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Solution

The third proportional to 191,720,724 and 419,313,656 is: 917,083,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,720,724 : 419,313,656 = 419,313,656 : x
  2. Step 2: Convert to fraction form
    191,720,724/419,313,656 = 419,313,656/x
  3. Step 3: Cross multiply
    191,720,724x = 419,313,656 × 419,313,656
  4. Step 4: Simplify right side
    191,720,724x = 175,823,942,108,086,336
  5. Step 5: Solve for x
    x = 175,823,942,108,086,336/191,720,724
  6. Step 6: Final answer
    x = 917,083,653.97

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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.