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Finding the Third Proportional to 46,179,720 and 100,397,268

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Solution

The third proportional to 46,179,720 and 100,397,268 is: 218,269,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,179,720 : 100,397,268 = 100,397,268 : x
  2. Step 2: Convert to fraction form
    46,179,720/100,397,268 = 100,397,268/x
  3. Step 3: Cross multiply
    46,179,720x = 100,397,268 × 100,397,268
  4. Step 4: Simplify right side
    46,179,720x = 10,079,611,421,863,824
  5. Step 5: Solve for x
    x = 10,079,611,421,863,824/46,179,720
  6. Step 6: Final answer
    x = 218,269,219.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.