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Finding the Third Proportional to 116,965.69 and 188,368.03

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Solution

The third proportional to 116,965.69 and 188,368.03 is: 303,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,965.69 : 188,368.03 = 188,368.03 : x
  2. Step 2: Convert to fraction form
    116,965.69/188,368.03 = 188,368.03/x
  3. Step 3: Cross multiply
    116,965.69x = 188,368.03 × 188,368.03
  4. Step 4: Simplify right side
    116,965.69x = 35,482,515,197.00
  5. Step 5: Solve for x
    x = 35,482,515,197.00/116,965.69
  6. Step 6: Final answer
    x = 303,358.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.