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Finding the Third Proportional to 100,180,474.31 and 153,250,020.42

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Solution

The third proportional to 100,180,474.31 and 153,250,020.42 is: 234,432,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,180,474.31 : 153,250,020.42 = 153,250,020.42 : x
  2. Step 2: Convert to fraction form
    100,180,474.31/153,250,020.42 = 153,250,020.42/x
  3. Step 3: Cross multiply
    100,180,474.31x = 153,250,020.42 × 153,250,020.42
  4. Step 4: Simplify right side
    100,180,474.31x = 23,485,568,759,306,640
  5. Step 5: Solve for x
    x = 23,485,568,759,306,640/100,180,474.31
  6. Step 6: Final answer
    x = 234,432,596.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.