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Finding the Third Proportional to 100,982.25 and 212,899.50

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Solution

The third proportional to 100,982.25 and 212,899.50 is: 448,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,982.25 : 212,899.50 = 212,899.50 : x
  2. Step 2: Convert to fraction form
    100,982.25/212,899.50 = 212,899.50/x
  3. Step 3: Cross multiply
    100,982.25x = 212,899.50 × 212,899.50
  4. Step 4: Simplify right side
    100,982.25x = 45,326,197,100.25
  5. Step 5: Solve for x
    x = 45,326,197,100.25/100,982.25
  6. Step 6: Final answer
    x = 448,853.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.