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Finding the Third Proportional to 82,354,889 and 177,474,204

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Solution

The third proportional to 82,354,889 and 177,474,204 is: 382,455,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354,889 : 177,474,204 = 177,474,204 : x
  2. Step 2: Convert to fraction form
    82,354,889/177,474,204 = 177,474,204/x
  3. Step 3: Cross multiply
    82,354,889x = 177,474,204 × 177,474,204
  4. Step 4: Simplify right side
    82,354,889x = 31,497,093,085,433,616
  5. Step 5: Solve for x
    x = 31,497,093,085,433,616/82,354,889
  6. Step 6: Final answer
    x = 382,455,655.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.