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Finding the Third Proportional to 41,523,849 and 90,867,690

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Solution

The third proportional to 41,523,849 and 90,867,690 is: 198,848,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,523,849 : 90,867,690 = 90,867,690 : x
  2. Step 2: Convert to fraction form
    41,523,849/90,867,690 = 90,867,690/x
  3. Step 3: Cross multiply
    41,523,849x = 90,867,690 × 90,867,690
  4. Step 4: Simplify right side
    41,523,849x = 8,256,937,085,936,100
  5. Step 5: Solve for x
    x = 8,256,937,085,936,100/41,523,849
  6. Step 6: Final answer
    x = 198,848,066.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.