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Finding the Third Proportional to 48,846.50 and 107,053.50

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Solution

The third proportional to 48,846.50 and 107,053.50 is: 234,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,846.50 : 107,053.50 = 107,053.50 : x
  2. Step 2: Convert to fraction form
    48,846.50/107,053.50 = 107,053.50/x
  3. Step 3: Cross multiply
    48,846.50x = 107,053.50 × 107,053.50
  4. Step 4: Simplify right side
    48,846.50x = 11,460,451,862.25
  5. Step 5: Solve for x
    x = 11,460,451,862.25/48,846.50
  6. Step 6: Final answer
    x = 234,621.76

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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.