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Finding the Third Proportional to 98,968 and 213,243

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Solution

The third proportional to 98,968 and 213,243 is: 459,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,968 : 213,243 = 213,243 : x
  2. Step 2: Convert to fraction form
    98,968/213,243 = 213,243/x
  3. Step 3: Cross multiply
    98,968x = 213,243 × 213,243
  4. Step 4: Simplify right side
    98,968x = 45,472,577,049
  5. Step 5: Solve for x
    x = 45,472,577,049/98,968
  6. Step 6: Final answer
    x = 459,467.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.