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Finding the Third Proportional to 44,924.63 and 106,828.88

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Solution

The third proportional to 44,924.63 and 106,828.88 is: 254,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,924.63 : 106,828.88 = 106,828.88 : x
  2. Step 2: Convert to fraction form
    44,924.63/106,828.88 = 106,828.88/x
  3. Step 3: Cross multiply
    44,924.63x = 106,828.88 × 106,828.88
  4. Step 4: Simplify right side
    44,924.63x = 11,412,408,533.77
  5. Step 5: Solve for x
    x = 11,412,408,533.77/44,924.63
  6. Step 6: Final answer
    x = 254,034.59

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.