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Finding the Third Proportional to 106,638.19 and 246,871.97

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Solution

The third proportional to 106,638.19 and 246,871.97 is: 571,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638.19 : 246,871.97 = 246,871.97 : x
  2. Step 2: Convert to fraction form
    106,638.19/246,871.97 = 246,871.97/x
  3. Step 3: Cross multiply
    106,638.19x = 246,871.97 × 246,871.97
  4. Step 4: Simplify right side
    106,638.19x = 60,945,768,954.50
  5. Step 5: Solve for x
    x = 60,945,768,954.50/106,638.19
  6. Step 6: Final answer
    x = 571,519.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.