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Finding the Third Proportional to 85,416,934 and 184,270,796

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Solution

The third proportional to 85,416,934 and 184,270,796 is: 397,529,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416,934 : 184,270,796 = 184,270,796 : x
  2. Step 2: Convert to fraction form
    85,416,934/184,270,796 = 184,270,796/x
  3. Step 3: Cross multiply
    85,416,934x = 184,270,796 × 184,270,796
  4. Step 4: Simplify right side
    85,416,934x = 33,955,726,258,473,616
  5. Step 5: Solve for x
    x = 33,955,726,258,473,616/85,416,934
  6. Step 6: Final answer
    x = 397,529,209.59

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