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Finding the Third Proportional to 192,187,812 and 414,608,712

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Solution

The third proportional to 192,187,812 and 414,608,712 is: 894,439,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,187,812 : 414,608,712 = 414,608,712 : x
  2. Step 2: Convert to fraction form
    192,187,812/414,608,712 = 414,608,712/x
  3. Step 3: Cross multiply
    192,187,812x = 414,608,712 × 414,608,712
  4. Step 4: Simplify right side
    192,187,812x = 171,900,384,066,298,944
  5. Step 5: Solve for x
    x = 171,900,384,066,298,944/192,187,812
  6. Step 6: Final answer
    x = 894,439,570.74

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Why These Related Problems?

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