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Finding the Third Proportional to 107,490.75 and 223,804.13

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Solution

The third proportional to 107,490.75 and 223,804.13 is: 465,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,490.75 : 223,804.13 = 223,804.13 : x
  2. Step 2: Convert to fraction form
    107,490.75/223,804.13 = 223,804.13/x
  3. Step 3: Cross multiply
    107,490.75x = 223,804.13 × 223,804.13
  4. Step 4: Simplify right side
    107,490.75x = 50,088,286,367.02
  5. Step 5: Solve for x
    x = 50,088,286,367.02/107,490.75
  6. Step 6: Final answer
    x = 465,977.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.