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Finding the Third Proportional to 97,672,653 and 203,383,341

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Solution

The third proportional to 97,672,653 and 203,383,341 is: 423,504,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,672,653 : 203,383,341 = 203,383,341 : x
  2. Step 2: Convert to fraction form
    97,672,653/203,383,341 = 203,383,341/x
  3. Step 3: Cross multiply
    97,672,653x = 203,383,341 × 203,383,341
  4. Step 4: Simplify right side
    97,672,653x = 41,364,783,396,322,280
  5. Step 5: Solve for x
    x = 41,364,783,396,322,280/97,672,653
  6. Step 6: Final answer
    x = 423,504,247.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.