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Finding the Third Proportional to 126,570,951 and 190,193,400

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Solution

The third proportional to 126,570,951 and 190,193,400 is: 285,796,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,570,951 : 190,193,400 = 190,193,400 : x
  2. Step 2: Convert to fraction form
    126,570,951/190,193,400 = 190,193,400/x
  3. Step 3: Cross multiply
    126,570,951x = 190,193,400 × 190,193,400
  4. Step 4: Simplify right side
    126,570,951x = 36,173,529,403,560,000
  5. Step 5: Solve for x
    x = 36,173,529,403,560,000/126,570,951
  6. Step 6: Final answer
    x = 285,796,457.38

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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.