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Finding the Third Proportional to 45,476.36 and 106,219.00

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Solution

The third proportional to 45,476.36 and 106,219.00 is: 248,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,476.36 : 106,219.00 = 106,219.00 : x
  2. Step 2: Convert to fraction form
    45,476.36/106,219.00 = 106,219.00/x
  3. Step 3: Cross multiply
    45,476.36x = 106,219.00 × 106,219.00
  4. Step 4: Simplify right side
    45,476.36x = 11,282,476,375.92
  5. Step 5: Solve for x
    x = 11,282,476,375.92/45,476.36
  6. Step 6: Final answer
    x = 248,095.42

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.