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Finding the Third Proportional to 129,266,186 and 193,441,284

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Solution

The third proportional to 129,266,186 and 193,441,284 is: 289,476,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,266,186 : 193,441,284 = 193,441,284 : x
  2. Step 2: Convert to fraction form
    129,266,186/193,441,284 = 193,441,284/x
  3. Step 3: Cross multiply
    129,266,186x = 193,441,284 × 193,441,284
  4. Step 4: Simplify right side
    129,266,186x = 37,419,530,355,568,656
  5. Step 5: Solve for x
    x = 37,419,530,355,568,656/129,266,186
  6. Step 6: Final answer
    x = 289,476,556.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.