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Finding the Third Proportional to 80,104,907 and 164,456,421

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Solution

The third proportional to 80,104,907 and 164,456,421 is: 337,631,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,104,907 : 164,456,421 = 164,456,421 : x
  2. Step 2: Convert to fraction form
    80,104,907/164,456,421 = 164,456,421/x
  3. Step 3: Cross multiply
    80,104,907x = 164,456,421 × 164,456,421
  4. Step 4: Simplify right side
    80,104,907x = 27,045,914,408,129,240
  5. Step 5: Solve for x
    x = 27,045,914,408,129,240/80,104,907
  6. Step 6: Final answer
    x = 337,631,181.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.