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Finding the Third Proportional to 101,819,915,944 and 206,543,100,632

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Solution

The third proportional to 101,819,915,944 and 206,543,100,632 is: 418,975,521,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,819,915,944 : 206,543,100,632 = 206,543,100,632 : x
  2. Step 2: Convert to fraction form
    101,819,915,944/206,543,100,632 = 206,543,100,632/x
  3. Step 3: Cross multiply
    101,819,915,944x = 206,543,100,632 × 206,543,100,632
  4. Step 4: Simplify right side
    101,819,915,944x = 42,660,052,418,680,477,188,096
  5. Step 5: Solve for x
    x = 42,660,052,418,680,477,188,096/101,819,915,944
  6. Step 6: Final answer
    x = 418,975,521,862.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.