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Finding the Third Proportional to 94,145.63 and 206,949

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Solution

The third proportional to 94,145.63 and 206,949 is: 454,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,145.63 : 206,949 = 206,949 : x
  2. Step 2: Convert to fraction form
    94,145.63/206,949 = 206,949/x
  3. Step 3: Cross multiply
    94,145.63x = 206,949 × 206,949
  4. Step 4: Simplify right side
    94,145.63x = 42,827,888,601
  5. Step 5: Solve for x
    x = 42,827,888,601/94,145.63
  6. Step 6: Final answer
    x = 454,911.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.