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Finding the Third Proportional to 41,523,765 and 90,867,524.25

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Solution

The third proportional to 41,523,765 and 90,867,524.25 is: 198,847,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,523,765 : 90,867,524.25 = 90,867,524.25 : x
  2. Step 2: Convert to fraction form
    41,523,765/90,867,524.25 = 90,867,524.25/x
  3. Step 3: Cross multiply
    41,523,765x = 90,867,524.25 × 90,867,524.25
  4. Step 4: Simplify right side
    41,523,765x = 8,256,906,963,324,338
  5. Step 5: Solve for x
    x = 8,256,906,963,324,338/41,523,765
  6. Step 6: Final answer
    x = 198,847,743.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.