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Finding the Third Proportional to 103,636 and 223,128

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Solution

The third proportional to 103,636 and 223,128 is: 480,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,636 : 223,128 = 223,128 : x
  2. Step 2: Convert to fraction form
    103,636/223,128 = 223,128/x
  3. Step 3: Cross multiply
    103,636x = 223,128 × 223,128
  4. Step 4: Simplify right side
    103,636x = 49,786,104,384
  5. Step 5: Solve for x
    x = 49,786,104,384/103,636
  6. Step 6: Final answer
    x = 480,393.92

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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.