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Finding the Third Proportional to 103,877.25 and 223,271.25

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Solution

The third proportional to 103,877.25 and 223,271.25 is: 479,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,877.25 : 223,271.25 = 223,271.25 : x
  2. Step 2: Convert to fraction form
    103,877.25/223,271.25 = 223,271.25/x
  3. Step 3: Cross multiply
    103,877.25x = 223,271.25 × 223,271.25
  4. Step 4: Simplify right side
    103,877.25x = 49,850,051,076.56
  5. Step 5: Solve for x
    x = 49,850,051,076.56/103,877.25
  6. Step 6: Final answer
    x = 479,893.83

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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.