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Finding the Third Proportional to 91,813.50 and 194,649.75

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Solution

The third proportional to 91,813.50 and 194,649.75 is: 412,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,813.50 : 194,649.75 = 194,649.75 : x
  2. Step 2: Convert to fraction form
    91,813.50/194,649.75 = 194,649.75/x
  3. Step 3: Cross multiply
    91,813.50x = 194,649.75 × 194,649.75
  4. Step 4: Simplify right side
    91,813.50x = 37,888,525,175.06
  5. Step 5: Solve for x
    x = 37,888,525,175.06/91,813.50
  6. Step 6: Final answer
    x = 412,668.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.