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Finding the Third Proportional to 115,969,922 and 162,219,237

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Solution

The third proportional to 115,969,922 and 162,219,237 is: 226,912,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,969,922 : 162,219,237 = 162,219,237 : x
  2. Step 2: Convert to fraction form
    115,969,922/162,219,237 = 162,219,237/x
  3. Step 3: Cross multiply
    115,969,922x = 162,219,237 × 162,219,237
  4. Step 4: Simplify right side
    115,969,922x = 26,315,080,852,862,168
  5. Step 5: Solve for x
    x = 26,315,080,852,862,168/115,969,922
  6. Step 6: Final answer
    x = 226,912,982.25

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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.