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Finding the Third Proportional to 44,719.59 and 103,443.96

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Solution

The third proportional to 44,719.59 and 103,443.96 is: 239,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,719.59 : 103,443.96 = 103,443.96 : x
  2. Step 2: Convert to fraction form
    44,719.59/103,443.96 = 103,443.96/x
  3. Step 3: Cross multiply
    44,719.59x = 103,443.96 × 103,443.96
  4. Step 4: Simplify right side
    44,719.59x = 10,700,653,054.44
  5. Step 5: Solve for x
    x = 10,700,653,054.44/44,719.59
  6. Step 6: Final answer
    x = 239,283.32

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.