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Finding the Third Proportional to 103,995.50 and 212,918

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Solution

The third proportional to 103,995.50 and 212,918 is: 435,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,995.50 : 212,918 = 212,918 : x
  2. Step 2: Convert to fraction form
    103,995.50/212,918 = 212,918/x
  3. Step 3: Cross multiply
    103,995.50x = 212,918 × 212,918
  4. Step 4: Simplify right side
    103,995.50x = 45,334,074,724
  5. Step 5: Solve for x
    x = 45,334,074,724/103,995.50
  6. Step 6: Final answer
    x = 435,923.43

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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.