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Finding the Third Proportional to 100,668.94 and 140,816.25

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Solution

The third proportional to 100,668.94 and 140,816.25 is: 196,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,668.94 : 140,816.25 = 140,816.25 : x
  2. Step 2: Convert to fraction form
    100,668.94/140,816.25 = 140,816.25/x
  3. Step 3: Cross multiply
    100,668.94x = 140,816.25 × 140,816.25
  4. Step 4: Simplify right side
    100,668.94x = 19,829,216,264.06
  5. Step 5: Solve for x
    x = 19,829,216,264.06/100,668.94
  6. Step 6: Final answer
    x = 196,974.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.