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Finding the Third Proportional to 196,393,340 and 294,590,010

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Solution

The third proportional to 196,393,340 and 294,590,010 is: 441,885,015

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,393,340 : 294,590,010 = 294,590,010 : x
  2. Step 2: Convert to fraction form
    196,393,340/294,590,010 = 294,590,010/x
  3. Step 3: Cross multiply
    196,393,340x = 294,590,010 × 294,590,010
  4. Step 4: Simplify right side
    196,393,340x = 86,783,273,991,800,096
  5. Step 5: Solve for x
    x = 86,783,273,991,800,096/196,393,340
  6. Step 6: Final answer
    x = 441,885,015

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.