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Finding the Third Proportional to 51,232,729.50 and 79,243,137

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Solution

The third proportional to 51,232,729.50 and 79,243,137 is: 122,567,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232,729.50 : 79,243,137 = 79,243,137 : x
  2. Step 2: Convert to fraction form
    51,232,729.50/79,243,137 = 79,243,137/x
  3. Step 3: Cross multiply
    51,232,729.50x = 79,243,137 × 79,243,137
  4. Step 4: Simplify right side
    51,232,729.50x = 6,279,474,761,600,769
  5. Step 5: Solve for x
    x = 6,279,474,761,600,769/51,232,729.50
  6. Step 6: Final answer
    x = 122,567,640.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.