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Finding the Third Proportional to 43,825.50 and 94,221

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Solution

The third proportional to 43,825.50 and 94,221 is: 202,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,825.50 : 94,221 = 94,221 : x
  2. Step 2: Convert to fraction form
    43,825.50/94,221 = 94,221/x
  3. Step 3: Cross multiply
    43,825.50x = 94,221 × 94,221
  4. Step 4: Simplify right side
    43,825.50x = 8,877,596,841
  5. Step 5: Solve for x
    x = 8,877,596,841/43,825.50
  6. Step 6: Final answer
    x = 202,566.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.