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Finding the Third Proportional to 91,637,173,727 and 197,279,360,183

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Solution

The third proportional to 91,637,173,727 and 197,279,360,183 is: 424,709,147,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,637,173,727 : 197,279,360,183 = 197,279,360,183 : x
  2. Step 2: Convert to fraction form
    91,637,173,727/197,279,360,183 = 197,279,360,183/x
  3. Step 3: Cross multiply
    91,637,173,727x = 197,279,360,183 × 197,279,360,183
  4. Step 4: Simplify right side
    91,637,173,727x = 38,919,145,954,213,846,056,960
  5. Step 5: Solve for x
    x = 38,919,145,954,213,846,056,960/91,637,173,727
  6. Step 6: Final answer
    x = 424,709,147,732.55

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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.