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Finding the Third Proportional to 126,200,754 and 188,796,683.25

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Solution

The third proportional to 126,200,754 and 188,796,683.25 is: 282,440,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,200,754 : 188,796,683.25 = 188,796,683.25 : x
  2. Step 2: Convert to fraction form
    126,200,754/188,796,683.25 = 188,796,683.25/x
  3. Step 3: Cross multiply
    126,200,754x = 188,796,683.25 × 188,796,683.25
  4. Step 4: Simplify right side
    126,200,754x = 35,644,187,606,200,832
  5. Step 5: Solve for x
    x = 35,644,187,606,200,832/126,200,754
  6. Step 6: Final answer
    x = 282,440,369.62

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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.