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Finding the Third Proportional to 92,305,216 and 196,965,008

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Solution

The third proportional to 92,305,216 and 196,965,008 is: 420,292,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,305,216 : 196,965,008 = 196,965,008 : x
  2. Step 2: Convert to fraction form
    92,305,216/196,965,008 = 196,965,008/x
  3. Step 3: Cross multiply
    92,305,216x = 196,965,008 × 196,965,008
  4. Step 4: Simplify right side
    92,305,216x = 38,795,214,376,440,064
  5. Step 5: Solve for x
    x = 38,795,214,376,440,064/92,305,216
  6. Step 6: Final answer
    x = 420,292,764.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.