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Finding the Third Proportional to 182,011,774 and 257,541,081

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Solution

The third proportional to 182,011,774 and 257,541,081 is: 364,412,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,011,774 : 257,541,081 = 257,541,081 : x
  2. Step 2: Convert to fraction form
    182,011,774/257,541,081 = 257,541,081/x
  3. Step 3: Cross multiply
    182,011,774x = 257,541,081 × 257,541,081
  4. Step 4: Simplify right side
    182,011,774x = 66,327,408,402,648,560
  5. Step 5: Solve for x
    x = 66,327,408,402,648,560/182,011,774
  6. Step 6: Final answer
    x = 364,412,735.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.