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Finding the Third Proportional to 94,668.75 and 206,151.75

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Solution

The third proportional to 94,668.75 and 206,151.75 is: 448,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,668.75 : 206,151.75 = 206,151.75 : x
  2. Step 2: Convert to fraction form
    94,668.75/206,151.75 = 206,151.75/x
  3. Step 3: Cross multiply
    94,668.75x = 206,151.75 × 206,151.75
  4. Step 4: Simplify right side
    94,668.75x = 42,498,544,028.06
  5. Step 5: Solve for x
    x = 42,498,544,028.06/94,668.75
  6. Step 6: Final answer
    x = 448,918.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.