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Finding the Third Proportional to 97,082,847 and 208,573,272

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Solution

The third proportional to 97,082,847 and 208,573,272 is: 448,099,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,082,847 : 208,573,272 = 208,573,272 : x
  2. Step 2: Convert to fraction form
    97,082,847/208,573,272 = 208,573,272/x
  3. Step 3: Cross multiply
    97,082,847x = 208,573,272 × 208,573,272
  4. Step 4: Simplify right side
    97,082,847x = 43,502,809,792,785,984
  5. Step 5: Solve for x
    x = 43,502,809,792,785,984/97,082,847
  6. Step 6: Final answer
    x = 448,099,856.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.