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Finding the Third Proportional to 40,505.06 and 94,223.25

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Solution

The third proportional to 40,505.06 and 94,223.25 is: 219,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,505.06 : 94,223.25 = 94,223.25 : x
  2. Step 2: Convert to fraction form
    40,505.06/94,223.25 = 94,223.25/x
  3. Step 3: Cross multiply
    40,505.06x = 94,223.25 × 94,223.25
  4. Step 4: Simplify right side
    40,505.06x = 8,878,020,840.56
  5. Step 5: Solve for x
    x = 8,878,020,840.56/40,505.06
  6. Step 6: Final answer
    x = 219,182.99

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.