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Finding the Third Proportional to 105,355.69 and 227,544.19

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Solution

The third proportional to 105,355.69 and 227,544.19 is: 491,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,355.69 : 227,544.19 = 227,544.19 : x
  2. Step 2: Convert to fraction form
    105,355.69/227,544.19 = 227,544.19/x
  3. Step 3: Cross multiply
    105,355.69x = 227,544.19 × 227,544.19
  4. Step 4: Simplify right side
    105,355.69x = 51,776,357,265.04
  5. Step 5: Solve for x
    x = 51,776,357,265.04/105,355.69
  6. Step 6: Final answer
    x = 491,443.40

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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.