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Finding the Third Proportional to 197,830,438 and 302,620,266

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Solution

The third proportional to 197,830,438 and 302,620,266 is: 462,916,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,830,438 : 302,620,266 = 302,620,266 : x
  2. Step 2: Convert to fraction form
    197,830,438/302,620,266 = 302,620,266/x
  3. Step 3: Cross multiply
    197,830,438x = 302,620,266 × 302,620,266
  4. Step 4: Simplify right side
    197,830,438x = 91,579,025,393,910,752
  5. Step 5: Solve for x
    x = 91,579,025,393,910,752/197,830,438
  6. Step 6: Final answer
    x = 462,916,760.03

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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.