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Finding the Third Proportional to 41,831,211 and 90,608,898

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Solution

The third proportional to 41,831,211 and 90,608,898 is: 196,264,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,831,211 : 90,608,898 = 90,608,898 : x
  2. Step 2: Convert to fraction form
    41,831,211/90,608,898 = 90,608,898/x
  3. Step 3: Cross multiply
    41,831,211x = 90,608,898 × 90,608,898
  4. Step 4: Simplify right side
    41,831,211x = 8,209,972,396,774,404
  5. Step 5: Solve for x
    x = 8,209,972,396,774,404/41,831,211
  6. Step 6: Final answer
    x = 196,264,277.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.