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Finding the Third Proportional to 146,389,809 and 195,164,649

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Solution

The third proportional to 146,389,809 and 195,164,649 is: 260,190,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,389,809 : 195,164,649 = 195,164,649 : x
  2. Step 2: Convert to fraction form
    146,389,809/195,164,649 = 195,164,649/x
  3. Step 3: Cross multiply
    146,389,809x = 195,164,649 × 195,164,649
  4. Step 4: Simplify right side
    146,389,809x = 38,089,240,219,293,200
  5. Step 5: Solve for x
    x = 38,089,240,219,293,200/146,389,809
  6. Step 6: Final answer
    x = 260,190,517.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.