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Finding the Third Proportional to 103,687.59 and 223,020.84

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Solution

The third proportional to 103,687.59 and 223,020.84 is: 479,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,687.59 : 223,020.84 = 223,020.84 : x
  2. Step 2: Convert to fraction form
    103,687.59/223,020.84 = 223,020.84/x
  3. Step 3: Cross multiply
    103,687.59x = 223,020.84 × 223,020.84
  4. Step 4: Simplify right side
    103,687.59x = 49,738,296,746.96
  5. Step 5: Solve for x
    x = 49,738,296,746.96/103,687.59
  6. Step 6: Final answer
    x = 479,693.81

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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.