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Finding the Third Proportional to 98,023 and 212,638

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Solution

The third proportional to 98,023 and 212,638 is: 461,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,023 : 212,638 = 212,638 : x
  2. Step 2: Convert to fraction form
    98,023/212,638 = 212,638/x
  3. Step 3: Cross multiply
    98,023x = 212,638 × 212,638
  4. Step 4: Simplify right side
    98,023x = 45,214,919,044
  5. Step 5: Solve for x
    x = 45,214,919,044/98,023
  6. Step 6: Final answer
    x = 461,268.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.