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Finding the Third Proportional to 191,927,122 and 414,436,616

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Solution

The third proportional to 191,927,122 and 414,436,616 is: 894,911,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,927,122 : 414,436,616 = 414,436,616 : x
  2. Step 2: Convert to fraction form
    191,927,122/414,436,616 = 414,436,616/x
  3. Step 3: Cross multiply
    191,927,122x = 414,436,616 × 414,436,616
  4. Step 4: Simplify right side
    191,927,122x = 171,757,708,681,531,456
  5. Step 5: Solve for x
    x = 171,757,708,681,531,456/191,927,122
  6. Step 6: Final answer
    x = 894,911,083.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.