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Finding the Third Proportional to 220,018,168 and 466,263,812

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Solution

The third proportional to 220,018,168 and 466,263,812 is: 988,109,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,018,168 : 466,263,812 = 466,263,812 : x
  2. Step 2: Convert to fraction form
    220,018,168/466,263,812 = 466,263,812/x
  3. Step 3: Cross multiply
    220,018,168x = 466,263,812 × 466,263,812
  4. Step 4: Simplify right side
    220,018,168x = 217,401,942,380,771,328
  5. Step 5: Solve for x
    x = 217,401,942,380,771,328/220,018,168
  6. Step 6: Final answer
    x = 988,109,047.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.