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Finding the Third Proportional to 104,796.56 and 148,143.09

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Solution

The third proportional to 104,796.56 and 148,143.09 is: 209,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,796.56 : 148,143.09 = 148,143.09 : x
  2. Step 2: Convert to fraction form
    104,796.56/148,143.09 = 148,143.09/x
  3. Step 3: Cross multiply
    104,796.56x = 148,143.09 × 148,143.09
  4. Step 4: Simplify right side
    104,796.56x = 21,946,376,225.82
  5. Step 5: Solve for x
    x = 21,946,376,225.82/104,796.56
  6. Step 6: Final answer
    x = 209,418.86

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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.