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Finding the Third Proportional to 103,828.50 and 223,451.50

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Solution

The third proportional to 103,828.50 and 223,451.50 is: 480,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,828.50 : 223,451.50 = 223,451.50 : x
  2. Step 2: Convert to fraction form
    103,828.50/223,451.50 = 223,451.50/x
  3. Step 3: Cross multiply
    103,828.50x = 223,451.50 × 223,451.50
  4. Step 4: Simplify right side
    103,828.50x = 49,930,572,852.25
  5. Step 5: Solve for x
    x = 49,930,572,852.25/103,828.50
  6. Step 6: Final answer
    x = 480,894.68

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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.