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Finding the Third Proportional to 167,275,678 and 362,347,397

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Solution

The third proportional to 167,275,678 and 362,347,397 is: 784,905,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,275,678 : 362,347,397 = 362,347,397 : x
  2. Step 2: Convert to fraction form
    167,275,678/362,347,397 = 362,347,397/x
  3. Step 3: Cross multiply
    167,275,678x = 362,347,397 × 362,347,397
  4. Step 4: Simplify right side
    167,275,678x = 131,295,636,112,675,616
  5. Step 5: Solve for x
    x = 131,295,636,112,675,616/167,275,678
  6. Step 6: Final answer
    x = 784,905,717.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.