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Finding the Third Proportional to 51,135,864 and 109,861,104

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Solution

The third proportional to 51,135,864 and 109,861,104 is: 236,027,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135,864 : 109,861,104 = 109,861,104 : x
  2. Step 2: Convert to fraction form
    51,135,864/109,861,104 = 109,861,104/x
  3. Step 3: Cross multiply
    51,135,864x = 109,861,104 × 109,861,104
  4. Step 4: Simplify right side
    51,135,864x = 12,069,462,172,098,816
  5. Step 5: Solve for x
    x = 12,069,462,172,098,816/51,135,864
  6. Step 6: Final answer
    x = 236,027,344.18

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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.