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Finding the Third Proportional to 69,597,576 and 102,266,064

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Solution

The third proportional to 69,597,576 and 102,266,064 is: 150,268,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,597,576 : 102,266,064 = 102,266,064 : x
  2. Step 2: Convert to fraction form
    69,597,576/102,266,064 = 102,266,064/x
  3. Step 3: Cross multiply
    69,597,576x = 102,266,064 × 102,266,064
  4. Step 4: Simplify right side
    69,597,576x = 10,458,347,846,052,096
  5. Step 5: Solve for x
    x = 10,458,347,846,052,096/69,597,576
  6. Step 6: Final answer
    x = 150,268,851.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.