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Finding the Third Proportional to 41,542,921 and 96,164,339

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Solution

The third proportional to 41,542,921 and 96,164,339 is: 222,603,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,542,921 : 96,164,339 = 96,164,339 : x
  2. Step 2: Convert to fraction form
    41,542,921/96,164,339 = 96,164,339/x
  3. Step 3: Cross multiply
    41,542,921x = 96,164,339 × 96,164,339
  4. Step 4: Simplify right side
    41,542,921x = 9,247,580,095,306,920
  5. Step 5: Solve for x
    x = 9,247,580,095,306,920/41,542,921
  6. Step 6: Final answer
    x = 222,603,030.14

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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.