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Finding the Third Proportional to 99,822.75 and 154,194

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Solution

The third proportional to 99,822.75 and 154,194 is: 238,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,822.75 : 154,194 = 154,194 : x
  2. Step 2: Convert to fraction form
    99,822.75/154,194 = 154,194/x
  3. Step 3: Cross multiply
    99,822.75x = 154,194 × 154,194
  4. Step 4: Simplify right side
    99,822.75x = 23,775,789,636
  5. Step 5: Solve for x
    x = 23,775,789,636/99,822.75
  6. Step 6: Final answer
    x = 238,180.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.