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Finding the Third Proportional to 103,283.44 and 218,966.63

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Solution

The third proportional to 103,283.44 and 218,966.63 is: 464,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,283.44 : 218,966.63 = 218,966.63 : x
  2. Step 2: Convert to fraction form
    103,283.44/218,966.63 = 218,966.63/x
  3. Step 3: Cross multiply
    103,283.44x = 218,966.63 × 218,966.63
  4. Step 4: Simplify right side
    103,283.44x = 47,946,382,863.89
  5. Step 5: Solve for x
    x = 47,946,382,863.89/103,283.44
  6. Step 6: Final answer
    x = 464,221.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.