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Finding the Third Proportional to 94,708 and 209,180

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Solution

The third proportional to 94,708 and 209,180 is: 462,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,708 : 209,180 = 209,180 : x
  2. Step 2: Convert to fraction form
    94,708/209,180 = 209,180/x
  3. Step 3: Cross multiply
    94,708x = 209,180 × 209,180
  4. Step 4: Simplify right side
    94,708x = 43,756,272,400
  5. Step 5: Solve for x
    x = 43,756,272,400/94,708
  6. Step 6: Final answer
    x = 462,012.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.