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Finding the Third Proportional to 105,856,394 and 227,932,064

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Solution

The third proportional to 105,856,394 and 227,932,064 is: 490,787,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,856,394 : 227,932,064 = 227,932,064 : x
  2. Step 2: Convert to fraction form
    105,856,394/227,932,064 = 227,932,064/x
  3. Step 3: Cross multiply
    105,856,394x = 227,932,064 × 227,932,064
  4. Step 4: Simplify right side
    105,856,394x = 51,953,025,799,300,096
  5. Step 5: Solve for x
    x = 51,953,025,799,300,096/105,856,394
  6. Step 6: Final answer
    x = 490,787,791.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.