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Finding the Third Proportional to 48,309.75 and 105,769.13

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Solution

The third proportional to 48,309.75 and 105,769.13 is: 231,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,309.75 : 105,769.13 = 105,769.13 : x
  2. Step 2: Convert to fraction form
    48,309.75/105,769.13 = 105,769.13/x
  3. Step 3: Cross multiply
    48,309.75x = 105,769.13 × 105,769.13
  4. Step 4: Simplify right side
    48,309.75x = 11,187,107,803.27
  5. Step 5: Solve for x
    x = 11,187,107,803.27/48,309.75
  6. Step 6: Final answer
    x = 231,570.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.