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Finding the Third Proportional to 182,012,157 and 257,541,687

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Solution

The third proportional to 182,012,157 and 257,541,687 is: 364,413,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,012,157 : 257,541,687 = 257,541,687 : x
  2. Step 2: Convert to fraction form
    182,012,157/257,541,687 = 257,541,687/x
  3. Step 3: Cross multiply
    182,012,157x = 257,541,687 × 257,541,687
  4. Step 4: Simplify right side
    182,012,157x = 66,327,720,542,805,968
  5. Step 5: Solve for x
    x = 66,327,720,542,805,968/182,012,157
  6. Step 6: Final answer
    x = 364,413,683.33

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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.