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Finding the Third Proportional to 41,964,178 and 90,305,649

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Solution

The third proportional to 41,964,178 and 90,305,649 is: 194,335,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,964,178 : 90,305,649 = 90,305,649 : x
  2. Step 2: Convert to fraction form
    41,964,178/90,305,649 = 90,305,649/x
  3. Step 3: Cross multiply
    41,964,178x = 90,305,649 × 90,305,649
  4. Step 4: Simplify right side
    41,964,178x = 8,155,110,241,311,201
  5. Step 5: Solve for x
    x = 8,155,110,241,311,201/41,964,178
  6. Step 6: Final answer
    x = 194,335,040.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.