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Finding the Third Proportional to 48,521.11 and 105,585.19

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Solution

The third proportional to 48,521.11 and 105,585.19 is: 229,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,521.11 : 105,585.19 = 105,585.19 : x
  2. Step 2: Convert to fraction form
    48,521.11/105,585.19 = 105,585.19/x
  3. Step 3: Cross multiply
    48,521.11x = 105,585.19 × 105,585.19
  4. Step 4: Simplify right side
    48,521.11x = 11,148,231,819.41
  5. Step 5: Solve for x
    x = 11,148,231,819.41/48,521.11
  6. Step 6: Final answer
    x = 229,760.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.