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Finding the Third Proportional to 196,151,922 and 416,213,604

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Solution

The third proportional to 196,151,922 and 416,213,604 is: 883,161,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,151,922 : 416,213,604 = 416,213,604 : x
  2. Step 2: Convert to fraction form
    196,151,922/416,213,604 = 416,213,604/x
  3. Step 3: Cross multiply
    196,151,922x = 416,213,604 × 416,213,604
  4. Step 4: Simplify right side
    196,151,922x = 173,233,764,154,668,800
  5. Step 5: Solve for x
    x = 173,233,764,154,668,800/196,151,922
  6. Step 6: Final answer
    x = 883,161,186.43

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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.