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Finding the Third Proportional to 193,677,014 and 414,984,556

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Solution

The third proportional to 193,677,014 and 414,984,556 is: 889,172,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,677,014 : 414,984,556 = 414,984,556 : x
  2. Step 2: Convert to fraction form
    193,677,014/414,984,556 = 414,984,556/x
  3. Step 3: Cross multiply
    193,677,014x = 414,984,556 × 414,984,556
  4. Step 4: Simplify right side
    193,677,014x = 172,212,181,718,517,120
  5. Step 5: Solve for x
    x = 172,212,181,718,517,120/193,677,014
  6. Step 6: Final answer
    x = 889,172,019.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.