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Finding the Third Proportional to 48,457.69 and 102,786.19

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Solution

The third proportional to 48,457.69 and 102,786.19 is: 218,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,457.69 : 102,786.19 = 102,786.19 : x
  2. Step 2: Convert to fraction form
    48,457.69/102,786.19 = 102,786.19/x
  3. Step 3: Cross multiply
    48,457.69x = 102,786.19 × 102,786.19
  4. Step 4: Simplify right side
    48,457.69x = 10,565,000,340.79
  5. Step 5: Solve for x
    x = 10,565,000,340.79/48,457.69
  6. Step 6: Final answer
    x = 218,025.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.