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Finding the Third Proportional to 98,863 and 213,278

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Solution

The third proportional to 98,863 and 213,278 is: 460,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,863 : 213,278 = 213,278 : x
  2. Step 2: Convert to fraction form
    98,863/213,278 = 213,278/x
  3. Step 3: Cross multiply
    98,863x = 213,278 × 213,278
  4. Step 4: Simplify right side
    98,863x = 45,487,505,284
  5. Step 5: Solve for x
    x = 45,487,505,284/98,863
  6. Step 6: Final answer
    x = 460,106.46

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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.