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Finding the Third Proportional to 98,896 and 213,704

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Solution

The third proportional to 98,896 and 213,704 is: 461,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,896 : 213,704 = 213,704 : x
  2. Step 2: Convert to fraction form
    98,896/213,704 = 213,704/x
  3. Step 3: Cross multiply
    98,896x = 213,704 × 213,704
  4. Step 4: Simplify right side
    98,896x = 45,669,399,616
  5. Step 5: Solve for x
    x = 45,669,399,616/98,896
  6. Step 6: Final answer
    x = 461,792.18

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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.