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Finding the Third Proportional to 191,755,152 and 419,384,736

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Solution

The third proportional to 191,755,152 and 419,384,736 is: 917,229,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,755,152 : 419,384,736 = 419,384,736 : x
  2. Step 2: Convert to fraction form
    191,755,152/419,384,736 = 419,384,736/x
  3. Step 3: Cross multiply
    191,755,152x = 419,384,736 × 419,384,736
  4. Step 4: Simplify right side
    191,755,152x = 175,883,556,789,789,696
  5. Step 5: Solve for x
    x = 175,883,556,789,789,696/191,755,152
  6. Step 6: Final answer
    x = 917,229,889.03

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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.