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Finding the Third Proportional to 182,707,614 and 269,014,797

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Solution

The third proportional to 182,707,614 and 269,014,797 is: 396,091,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,707,614 : 269,014,797 = 269,014,797 : x
  2. Step 2: Convert to fraction form
    182,707,614/269,014,797 = 269,014,797/x
  3. Step 3: Cross multiply
    182,707,614x = 269,014,797 × 269,014,797
  4. Step 4: Simplify right side
    182,707,614x = 72,368,961,004,951,216
  5. Step 5: Solve for x
    x = 72,368,961,004,951,216/182,707,614
  6. Step 6: Final answer
    x = 396,091,653.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.