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Finding the Third Proportional to 115,969,914 and 162,219,225

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Solution

The third proportional to 115,969,914 and 162,219,225 is: 226,912,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,969,914 : 162,219,225 = 162,219,225 : x
  2. Step 2: Convert to fraction form
    115,969,914/162,219,225 = 162,219,225/x
  3. Step 3: Cross multiply
    115,969,914x = 162,219,225 × 162,219,225
  4. Step 4: Simplify right side
    115,969,914x = 26,315,076,959,600,624
  5. Step 5: Solve for x
    x = 26,315,076,959,600,624/115,969,914
  6. Step 6: Final answer
    x = 226,912,964.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.