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Finding the Third Proportional to 196,393,349 and 294,590,024

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Solution

The third proportional to 196,393,349 and 294,590,024 is: 441,885,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,393,349 : 294,590,024 = 294,590,024 : x
  2. Step 2: Convert to fraction form
    196,393,349/294,590,024 = 294,590,024/x
  3. Step 3: Cross multiply
    196,393,349x = 294,590,024 × 294,590,024
  4. Step 4: Simplify right side
    196,393,349x = 86,783,282,240,320,576
  5. Step 5: Solve for x
    x = 86,783,282,240,320,576/196,393,349
  6. Step 6: Final answer
    x = 441,885,036.75

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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.