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Finding the Third Proportional to 115,969,984 and 162,219,336

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Solution

The third proportional to 115,969,984 and 162,219,336 is: 226,913,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,969,984 : 162,219,336 = 162,219,336 : x
  2. Step 2: Convert to fraction form
    115,969,984/162,219,336 = 162,219,336/x
  3. Step 3: Cross multiply
    115,969,984x = 162,219,336 × 162,219,336
  4. Step 4: Simplify right side
    115,969,984x = 26,315,112,972,280,896
  5. Step 5: Solve for x
    x = 26,315,112,972,280,896/115,969,984
  6. Step 6: Final answer
    x = 226,913,137.91

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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.