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Finding the Third Proportional to 103,736.81 and 227,561.63

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Solution

The third proportional to 103,736.81 and 227,561.63 is: 499,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,736.81 : 227,561.63 = 227,561.63 : x
  2. Step 2: Convert to fraction form
    103,736.81/227,561.63 = 227,561.63/x
  3. Step 3: Cross multiply
    103,736.81x = 227,561.63 × 227,561.63
  4. Step 4: Simplify right side
    103,736.81x = 51,784,293,172.64
  5. Step 5: Solve for x
    x = 51,784,293,172.64/103,736.81
  6. Step 6: Final answer
    x = 499,189.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.