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Finding the Third Proportional to 41,934,530 and 89,698,324

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Solution

The third proportional to 41,934,530 and 89,698,324 is: 191,865,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,934,530 : 89,698,324 = 89,698,324 : x
  2. Step 2: Convert to fraction form
    41,934,530/89,698,324 = 89,698,324/x
  3. Step 3: Cross multiply
    41,934,530x = 89,698,324 × 89,698,324
  4. Step 4: Simplify right side
    41,934,530x = 8,045,789,328,408,976
  5. Step 5: Solve for x
    x = 8,045,789,328,408,976/41,934,530
  6. Step 6: Final answer
    x = 191,865,494.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.