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Finding the Third Proportional to 96,076.13 and 146,437.88

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Solution

The third proportional to 96,076.13 and 146,437.88 is: 223,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,076.13 : 146,437.88 = 146,437.88 : x
  2. Step 2: Convert to fraction form
    96,076.13/146,437.88 = 146,437.88/x
  3. Step 3: Cross multiply
    96,076.13x = 146,437.88 × 146,437.88
  4. Step 4: Simplify right side
    96,076.13x = 21,444,051,234.52
  5. Step 5: Solve for x
    x = 21,444,051,234.52/96,076.13
  6. Step 6: Final answer
    x = 223,198.54

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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.