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Finding the Third Proportional to 102,105.56 and 148,640.06

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Solution

The third proportional to 102,105.56 and 148,640.06 is: 216,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,105.56 : 148,640.06 = 148,640.06 : x
  2. Step 2: Convert to fraction form
    102,105.56/148,640.06 = 148,640.06/x
  3. Step 3: Cross multiply
    102,105.56x = 148,640.06 × 148,640.06
  4. Step 4: Simplify right side
    102,105.56x = 22,093,868,180.00
  5. Step 5: Solve for x
    x = 22,093,868,180.00/102,105.56
  6. Step 6: Final answer
    x = 216,382.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.