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Finding the Third Proportional to 87,837,876 and 190,796,548

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Solution

The third proportional to 87,837,876 and 190,796,548 is: 414,437,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,837,876 : 190,796,548 = 190,796,548 : x
  2. Step 2: Convert to fraction form
    87,837,876/190,796,548 = 190,796,548/x
  3. Step 3: Cross multiply
    87,837,876x = 190,796,548 × 190,796,548
  4. Step 4: Simplify right side
    87,837,876x = 36,403,322,728,716,304
  5. Step 5: Solve for x
    x = 36,403,322,728,716,304/87,837,876
  6. Step 6: Final answer
    x = 414,437,647.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.