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Finding the Third Proportional to 146,920,620 and 320,295,228

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Solution

The third proportional to 146,920,620 and 320,295,228 is: 698,261,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,920,620 : 320,295,228 = 320,295,228 : x
  2. Step 2: Convert to fraction form
    146,920,620/320,295,228 = 320,295,228/x
  3. Step 3: Cross multiply
    146,920,620x = 320,295,228 × 320,295,228
  4. Step 4: Simplify right side
    146,920,620x = 102,589,033,079,571,984
  5. Step 5: Solve for x
    x = 102,589,033,079,571,984/146,920,620
  6. Step 6: Final answer
    x = 698,261,640.06

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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.