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Finding the Third Proportional to 45,505,941 and 100,288,233

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Solution

The third proportional to 45,505,941 and 100,288,233 is: 221,020,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,505,941 : 100,288,233 = 100,288,233 : x
  2. Step 2: Convert to fraction form
    45,505,941/100,288,233 = 100,288,233/x
  3. Step 3: Cross multiply
    45,505,941x = 100,288,233 × 100,288,233
  4. Step 4: Simplify right side
    45,505,941x = 10,057,729,678,262,288
  5. Step 5: Solve for x
    x = 10,057,729,678,262,288/45,505,941
  6. Step 6: Final answer
    x = 221,020,145.00

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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.