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Finding the Third Proportional to 191,694,564 and 419,878,616

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Solution

The third proportional to 191,694,564 and 419,878,616 is: 919,682,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,694,564 : 419,878,616 = 419,878,616 : x
  2. Step 2: Convert to fraction form
    191,694,564/419,878,616 = 419,878,616/x
  3. Step 3: Cross multiply
    191,694,564x = 419,878,616 × 419,878,616
  4. Step 4: Simplify right side
    191,694,564x = 176,298,052,174,075,456
  5. Step 5: Solve for x
    x = 176,298,052,174,075,456/191,694,564
  6. Step 6: Final answer
    x = 919,682,063.46

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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.