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Finding the Third Proportional to 45,505,984 and 100,288,327

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Solution

The third proportional to 45,505,984 and 100,288,327 is: 221,020,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,505,984 : 100,288,327 = 100,288,327 : x
  2. Step 2: Convert to fraction form
    45,505,984/100,288,327 = 100,288,327/x
  3. Step 3: Cross multiply
    45,505,984x = 100,288,327 × 100,288,327
  4. Step 4: Simplify right side
    45,505,984x = 10,057,748,532,458,928
  5. Step 5: Solve for x
    x = 10,057,748,532,458,928/45,505,984
  6. Step 6: Final answer
    x = 221,020,350.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.