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Finding the Third Proportional to 45,505,969 and 100,288,296

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Solution

The third proportional to 45,505,969 and 100,288,296 is: 221,020,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,505,969 : 100,288,296 = 100,288,296 : x
  2. Step 2: Convert to fraction form
    45,505,969/100,288,296 = 100,288,296/x
  3. Step 3: Cross multiply
    45,505,969x = 100,288,296 × 100,288,296
  4. Step 4: Simplify right side
    45,505,969x = 10,057,742,314,583,616
  5. Step 5: Solve for x
    x = 10,057,742,314,583,616/45,505,969
  6. Step 6: Final answer
    x = 221,020,286.69

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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.