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Finding the Third Proportional to 182,253,180 and 399,125,112

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Solution

The third proportional to 182,253,180 and 399,125,112 is: 874,063,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,253,180 : 399,125,112 = 399,125,112 : x
  2. Step 2: Convert to fraction form
    182,253,180/399,125,112 = 399,125,112/x
  3. Step 3: Cross multiply
    182,253,180x = 399,125,112 × 399,125,112
  4. Step 4: Simplify right side
    182,253,180x = 159,300,855,029,012,544
  5. Step 5: Solve for x
    x = 159,300,855,029,012,544/182,253,180
  6. Step 6: Final answer
    x = 874,063,514.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.