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Finding the Third Proportional to 103,976.50 and 212,871.19

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Solution

The third proportional to 103,976.50 and 212,871.19 is: 435,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,976.50 : 212,871.19 = 212,871.19 : x
  2. Step 2: Convert to fraction form
    103,976.50/212,871.19 = 212,871.19/x
  3. Step 3: Cross multiply
    103,976.50x = 212,871.19 × 212,871.19
  4. Step 4: Simplify right side
    103,976.50x = 45,314,142,467.66
  5. Step 5: Solve for x
    x = 45,314,142,467.66/103,976.50
  6. Step 6: Final answer
    x = 435,811.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.