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Finding the Third Proportional to 96,376,318 and 146,823,100

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Solution

The third proportional to 96,376,318 and 146,823,100 is: 223,675,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,376,318 : 146,823,100 = 146,823,100 : x
  2. Step 2: Convert to fraction form
    96,376,318/146,823,100 = 146,823,100/x
  3. Step 3: Cross multiply
    96,376,318x = 146,823,100 × 146,823,100
  4. Step 4: Simplify right side
    96,376,318x = 21,557,022,693,610,000
  5. Step 5: Solve for x
    x = 21,557,022,693,610,000/96,376,318
  6. Step 6: Final answer
    x = 223,675,516.36

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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.