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Finding the Third Proportional to 182,011,781 and 257,541,091

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Solution

The third proportional to 182,011,781 and 257,541,091 is: 364,412,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,011,781 : 257,541,091 = 257,541,091 : x
  2. Step 2: Convert to fraction form
    182,011,781/257,541,091 = 257,541,091/x
  3. Step 3: Cross multiply
    182,011,781x = 257,541,091 × 257,541,091
  4. Step 4: Simplify right side
    182,011,781x = 66,327,413,553,470,280
  5. Step 5: Solve for x
    x = 66,327,413,553,470,280/182,011,781
  6. Step 6: Final answer
    x = 364,412,749.49

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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.