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Finding the Third Proportional to 96,094.69 and 208,797.75

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Solution

The third proportional to 96,094.69 and 208,797.75 is: 453,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,094.69 : 208,797.75 = 208,797.75 : x
  2. Step 2: Convert to fraction form
    96,094.69/208,797.75 = 208,797.75/x
  3. Step 3: Cross multiply
    96,094.69x = 208,797.75 × 208,797.75
  4. Step 4: Simplify right side
    96,094.69x = 43,596,500,405.06
  5. Step 5: Solve for x
    x = 43,596,500,405.06/96,094.69
  6. Step 6: Final answer
    x = 453,682.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.