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Finding the Third Proportional to 100,629,096 and 215,609,292

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Solution

The third proportional to 100,629,096 and 215,609,292 is: 461,967,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,629,096 : 215,609,292 = 215,609,292 : x
  2. Step 2: Convert to fraction form
    100,629,096/215,609,292 = 215,609,292/x
  3. Step 3: Cross multiply
    100,629,096x = 215,609,292 × 215,609,292
  4. Step 4: Simplify right side
    100,629,096x = 46,487,366,796,741,264
  5. Step 5: Solve for x
    x = 46,487,366,796,741,264/100,629,096
  6. Step 6: Final answer
    x = 461,967,449.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.