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Finding the Third Proportional to 182,253,182 and 399,125,116

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Solution

The third proportional to 182,253,182 and 399,125,116 is: 874,063,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,253,182 : 399,125,116 = 399,125,116 : x
  2. Step 2: Convert to fraction form
    182,253,182/399,125,116 = 399,125,116/x
  3. Step 3: Cross multiply
    182,253,182x = 399,125,116 × 399,125,116
  4. Step 4: Simplify right side
    182,253,182x = 159,300,858,222,013,440
  5. Step 5: Solve for x
    x = 159,300,858,222,013,440/182,253,182
  6. Step 6: Final answer
    x = 874,063,522.37

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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.