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Finding the Third Proportional to 197,830,530 and 302,620,401

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Solution

The third proportional to 197,830,530 and 302,620,401 is: 462,916,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,830,530 : 302,620,401 = 302,620,401 : x
  2. Step 2: Convert to fraction form
    197,830,530/302,620,401 = 302,620,401/x
  3. Step 3: Cross multiply
    197,830,530x = 302,620,401 × 302,620,401
  4. Step 4: Simplify right side
    197,830,530x = 91,579,107,101,400,800
  5. Step 5: Solve for x
    x = 91,579,107,101,400,800/197,830,530
  6. Step 6: Final answer
    x = 462,916,957.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.