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Finding the Third Proportional to 46,179,734 and 100,397,292

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Solution

The third proportional to 46,179,734 and 100,397,292 is: 218,269,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,179,734 : 100,397,292 = 100,397,292 : x
  2. Step 2: Convert to fraction form
    46,179,734/100,397,292 = 100,397,292/x
  3. Step 3: Cross multiply
    46,179,734x = 100,397,292 × 100,397,292
  4. Step 4: Simplify right side
    46,179,734x = 10,079,616,240,933,264
  5. Step 5: Solve for x
    x = 10,079,616,240,933,264/46,179,734
  6. Step 6: Final answer
    x = 218,269,257.27

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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.