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Finding the Third Proportional to 41,542,920 and 96,164,335.50

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Solution

The third proportional to 41,542,920 and 96,164,335.50 is: 222,603,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,542,920 : 96,164,335.50 = 96,164,335.50 : x
  2. Step 2: Convert to fraction form
    41,542,920/96,164,335.50 = 96,164,335.50/x
  3. Step 3: Cross multiply
    41,542,920x = 96,164,335.50 × 96,164,335.50
  4. Step 4: Simplify right side
    41,542,920x = 9,247,579,422,156,560
  5. Step 5: Solve for x
    x = 9,247,579,422,156,560/41,542,920
  6. Step 6: Final answer
    x = 222,603,019.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.