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Finding the Third Proportional to 95,785,094 and 146,068,761

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Solution

The third proportional to 95,785,094 and 146,068,761 is: 222,749,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,785,094 : 146,068,761 = 146,068,761 : x
  2. Step 2: Convert to fraction form
    95,785,094/146,068,761 = 146,068,761/x
  3. Step 3: Cross multiply
    95,785,094x = 146,068,761 × 146,068,761
  4. Step 4: Simplify right side
    95,785,094x = 21,336,082,940,075,120
  5. Step 5: Solve for x
    x = 21,336,082,940,075,120/95,785,094
  6. Step 6: Final answer
    x = 222,749,511.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.