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Finding the Third Proportional to 121,481,981 and 195,626,001

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Solution

The third proportional to 121,481,981 and 195,626,001 is: 315,022,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,481,981 : 195,626,001 = 195,626,001 : x
  2. Step 2: Convert to fraction form
    121,481,981/195,626,001 = 195,626,001/x
  3. Step 3: Cross multiply
    121,481,981x = 195,626,001 × 195,626,001
  4. Step 4: Simplify right side
    121,481,981x = 38,269,532,267,252,000
  5. Step 5: Solve for x
    x = 38,269,532,267,252,000/121,481,981
  6. Step 6: Final answer
    x = 315,022,293.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.