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Finding the Third Proportional to 46,179,732 and 100,397,288

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Solution

The third proportional to 46,179,732 and 100,397,288 is: 218,269,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,179,732 : 100,397,288 = 100,397,288 : x
  2. Step 2: Convert to fraction form
    46,179,732/100,397,288 = 100,397,288/x
  3. Step 3: Cross multiply
    46,179,732x = 100,397,288 × 100,397,288
  4. Step 4: Simplify right side
    46,179,732x = 10,079,615,437,754,944
  5. Step 5: Solve for x
    x = 10,079,615,437,754,944/46,179,732
  6. Step 6: Final answer
    x = 218,269,249.33

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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.