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Finding the Third Proportional to 99,864.56 and 140,467.50

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Solution

The third proportional to 99,864.56 and 140,467.50 is: 197,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,864.56 : 140,467.50 = 140,467.50 : x
  2. Step 2: Convert to fraction form
    99,864.56/140,467.50 = 140,467.50/x
  3. Step 3: Cross multiply
    99,864.56x = 140,467.50 × 140,467.50
  4. Step 4: Simplify right side
    99,864.56x = 19,731,118,556.25
  5. Step 5: Solve for x
    x = 19,731,118,556.25/99,864.56
  6. Step 6: Final answer
    x = 197,578.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.