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Finding the Third Proportional to 105,490.13 and 227,476.69

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Solution

The third proportional to 105,490.13 and 227,476.69 is: 490,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,490.13 : 227,476.69 = 227,476.69 : x
  2. Step 2: Convert to fraction form
    105,490.13/227,476.69 = 227,476.69/x
  3. Step 3: Cross multiply
    105,490.13x = 227,476.69 × 227,476.69
  4. Step 4: Simplify right side
    105,490.13x = 51,745,643,355.97
  5. Step 5: Solve for x
    x = 51,745,643,355.97/105,490.13
  6. Step 6: Final answer
    x = 490,525.95

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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.