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Finding the Third Proportional to 98,918 and 213,676

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Solution

The third proportional to 98,918 and 213,676 is: 461,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,918 : 213,676 = 213,676 : x
  2. Step 2: Convert to fraction form
    98,918/213,676 = 213,676/x
  3. Step 3: Cross multiply
    98,918x = 213,676 × 213,676
  4. Step 4: Simplify right side
    98,918x = 45,657,432,976
  5. Step 5: Solve for x
    x = 45,657,432,976/98,918
  6. Step 6: Final answer
    x = 461,568.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.