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Finding the Third Proportional to 98,980 and 213,500

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Solution

The third proportional to 98,980 and 213,500 is: 460,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,980 : 213,500 = 213,500 : x
  2. Step 2: Convert to fraction form
    98,980/213,500 = 213,500/x
  3. Step 3: Cross multiply
    98,980x = 213,500 × 213,500
  4. Step 4: Simplify right side
    98,980x = 45,582,250,000
  5. Step 5: Solve for x
    x = 45,582,250,000/98,980
  6. Step 6: Final answer
    x = 460,519.80

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