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Finding the Third Proportional to 146,920,608 and 320,295,204

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Solution

The third proportional to 146,920,608 and 320,295,204 is: 698,261,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,920,608 : 320,295,204 = 320,295,204 : x
  2. Step 2: Convert to fraction form
    146,920,608/320,295,204 = 320,295,204/x
  3. Step 3: Cross multiply
    146,920,608x = 320,295,204 × 320,295,204
  4. Step 4: Simplify right side
    146,920,608x = 102,589,017,705,401,616
  5. Step 5: Solve for x
    x = 102,589,017,705,401,616/146,920,608
  6. Step 6: Final answer
    x = 698,261,592.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.