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Finding the Third Proportional to 100,941.75 and 212,339.25

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Solution

The third proportional to 100,941.75 and 212,339.25 is: 446,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,941.75 : 212,339.25 = 212,339.25 : x
  2. Step 2: Convert to fraction form
    100,941.75/212,339.25 = 212,339.25/x
  3. Step 3: Cross multiply
    100,941.75x = 212,339.25 × 212,339.25
  4. Step 4: Simplify right side
    100,941.75x = 45,087,957,090.56
  5. Step 5: Solve for x
    x = 45,087,957,090.56/100,941.75
  6. Step 6: Final answer
    x = 446,673.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.