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Finding the Third Proportional to 140,861,571.75 and 194,644,002.38

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Solution

The third proportional to 140,861,571.75 and 194,644,002.38 is: 268,961,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,861,571.75 : 194,644,002.38 = 194,644,002.38 : x
  2. Step 2: Convert to fraction form
    140,861,571.75/194,644,002.38 = 194,644,002.38/x
  3. Step 3: Cross multiply
    140,861,571.75x = 194,644,002.38 × 194,644,002.38
  4. Step 4: Simplify right side
    140,861,571.75x = 37,886,287,660,559,008
  5. Step 5: Solve for x
    x = 37,886,287,660,559,008/140,861,571.75
  6. Step 6: Final answer
    x = 268,961,131.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.