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Finding the Third Proportional to 96,253,353 and 207,848,052

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Solution

The third proportional to 96,253,353 and 207,848,052 is: 448,823,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,253,353 : 207,848,052 = 207,848,052 : x
  2. Step 2: Convert to fraction form
    96,253,353/207,848,052 = 207,848,052/x
  3. Step 3: Cross multiply
    96,253,353x = 207,848,052 × 207,848,052
  4. Step 4: Simplify right side
    96,253,353x = 43,200,812,720,194,704
  5. Step 5: Solve for x
    x = 43,200,812,720,194,704/96,253,353
  6. Step 6: Final answer
    x = 448,823,977.28

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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.