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Finding the Third Proportional to 96,251,971 and 207,847,239

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Solution

The third proportional to 96,251,971 and 207,847,239 is: 448,826,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,251,971 : 207,847,239 = 207,847,239 : x
  2. Step 2: Convert to fraction form
    96,251,971/207,847,239 = 207,847,239/x
  3. Step 3: Cross multiply
    96,251,971x = 207,847,239 × 207,847,239
  4. Step 4: Simplify right side
    96,251,971x = 43,200,474,759,923,120
  5. Step 5: Solve for x
    x = 43,200,474,759,923,120/96,251,971
  6. Step 6: Final answer
    x = 448,826,910.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.