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Finding the Third Proportional to 49,882,392 and 107,190,864

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Solution

The third proportional to 49,882,392 and 107,190,864 is: 230,339,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882,392 : 107,190,864 = 107,190,864 : x
  2. Step 2: Convert to fraction form
    49,882,392/107,190,864 = 107,190,864/x
  3. Step 3: Cross multiply
    49,882,392x = 107,190,864 × 107,190,864
  4. Step 4: Simplify right side
    49,882,392x = 11,489,881,325,066,496
  5. Step 5: Solve for x
    x = 11,489,881,325,066,496/49,882,392
  6. Step 6: Final answer
    x = 230,339,421.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.