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Finding the Third Proportional to 114,190,825 and 171,321,240

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Solution

The third proportional to 114,190,825 and 171,321,240 is: 257,034,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,190,825 : 171,321,240 = 171,321,240 : x
  2. Step 2: Convert to fraction form
    114,190,825/171,321,240 = 171,321,240/x
  3. Step 3: Cross multiply
    114,190,825x = 171,321,240 × 171,321,240
  4. Step 4: Simplify right side
    114,190,825x = 29,350,967,275,137,600
  5. Step 5: Solve for x
    x = 29,350,967,275,137,600/114,190,825
  6. Step 6: Final answer
    x = 257,034,374.48

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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.