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Finding the Third Proportional to 41,823,020.25 and 90,594,137.25

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Solution

The third proportional to 41,823,020.25 and 90,594,137.25 is: 196,238,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,823,020.25 : 90,594,137.25 = 90,594,137.25 : x
  2. Step 2: Convert to fraction form
    41,823,020.25/90,594,137.25 = 90,594,137.25/x
  3. Step 3: Cross multiply
    41,823,020.25x = 90,594,137.25 × 90,594,137.25
  4. Step 4: Simplify right side
    41,823,020.25x = 8,207,297,704,071,838
  5. Step 5: Solve for x
    x = 8,207,297,704,071,838/41,823,020.25
  6. Step 6: Final answer
    x = 196,238,761.69

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