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Finding the Third Proportional to 41,823,022 and 90,594,140

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Solution

The third proportional to 41,823,022 and 90,594,140 is: 196,238,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,823,022 : 90,594,140 = 90,594,140 : x
  2. Step 2: Convert to fraction form
    41,823,022/90,594,140 = 90,594,140/x
  3. Step 3: Cross multiply
    41,823,022x = 90,594,140 × 90,594,140
  4. Step 4: Simplify right side
    41,823,022x = 8,207,298,202,339,600
  5. Step 5: Solve for x
    x = 8,207,298,202,339,600/41,823,022
  6. Step 6: Final answer
    x = 196,238,765.39

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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.