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Finding the Third Proportional to 87,191,907 and 186,902,454

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Solution

The third proportional to 87,191,907 and 186,902,454 is: 400,639,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,191,907 : 186,902,454 = 186,902,454 : x
  2. Step 2: Convert to fraction form
    87,191,907/186,902,454 = 186,902,454/x
  3. Step 3: Cross multiply
    87,191,907x = 186,902,454 × 186,902,454
  4. Step 4: Simplify right side
    87,191,907x = 34,932,527,311,222,116
  5. Step 5: Solve for x
    x = 34,932,527,311,222,116/87,191,907
  6. Step 6: Final answer
    x = 400,639,560.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.