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Finding the Third Proportional to 96,033.94 and 209,093.06

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Solution

The third proportional to 96,033.94 and 209,093.06 is: 455,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,033.94 : 209,093.06 = 209,093.06 : x
  2. Step 2: Convert to fraction form
    96,033.94/209,093.06 = 209,093.06/x
  3. Step 3: Cross multiply
    96,033.94x = 209,093.06 × 209,093.06
  4. Step 4: Simplify right side
    96,033.94x = 43,719,908,785.63
  5. Step 5: Solve for x
    x = 43,719,908,785.63/96,033.94
  6. Step 6: Final answer
    x = 455,254.78

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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.