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Finding the Third Proportional to 135,803,268 and 215,392,392

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Solution

The third proportional to 135,803,268 and 215,392,392 is: 341,625,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,803,268 : 215,392,392 = 215,392,392 : x
  2. Step 2: Convert to fraction form
    135,803,268/215,392,392 = 215,392,392/x
  3. Step 3: Cross multiply
    135,803,268x = 215,392,392 × 215,392,392
  4. Step 4: Simplify right side
    135,803,268x = 46,393,882,531,481,664
  5. Step 5: Solve for x
    x = 46,393,882,531,481,664/135,803,268
  6. Step 6: Final answer
    x = 341,625,670.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.