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Finding the Third Proportional to 94,321.13 and 202,138.88

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Solution

The third proportional to 94,321.13 and 202,138.88 is: 433,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,321.13 : 202,138.88 = 202,138.88 : x
  2. Step 2: Convert to fraction form
    94,321.13/202,138.88 = 202,138.88/x
  3. Step 3: Cross multiply
    94,321.13x = 202,138.88 × 202,138.88
  4. Step 4: Simplify right side
    94,321.13x = 40,860,124,786.27
  5. Step 5: Solve for x
    x = 40,860,124,786.27/94,321.13
  6. Step 6: Final answer
    x = 433,202.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.