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Finding the Third Proportional to 96,253,468 and 207,848,280

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Solution

The third proportional to 96,253,468 and 207,848,280 is: 448,824,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,253,468 : 207,848,280 = 207,848,280 : x
  2. Step 2: Convert to fraction form
    96,253,468/207,848,280 = 207,848,280/x
  3. Step 3: Cross multiply
    96,253,468x = 207,848,280 × 207,848,280
  4. Step 4: Simplify right side
    96,253,468x = 43,200,907,498,958,400
  5. Step 5: Solve for x
    x = 43,200,907,498,958,400/96,253,468
  6. Step 6: Final answer
    x = 448,824,425.72

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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.