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Finding the Third Proportional to 105,823,700 and 227,864,652

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Solution

The third proportional to 105,823,700 and 227,864,652 is: 490,649,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,823,700 : 227,864,652 = 227,864,652 : x
  2. Step 2: Convert to fraction form
    105,823,700/227,864,652 = 227,864,652/x
  3. Step 3: Cross multiply
    105,823,700x = 227,864,652 × 227,864,652
  4. Step 4: Simplify right side
    105,823,700x = 51,922,299,631,081,104
  5. Step 5: Solve for x
    x = 51,922,299,631,081,104/105,823,700
  6. Step 6: Final answer
    x = 490,649,066.62

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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.