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Finding the Third Proportional to 48,448.50 and 102,760.88

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Solution

The third proportional to 48,448.50 and 102,760.88 is: 217,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448.50 : 102,760.88 = 102,760.88 : x
  2. Step 2: Convert to fraction form
    48,448.50/102,760.88 = 102,760.88/x
  3. Step 3: Cross multiply
    48,448.50x = 102,760.88 × 102,760.88
  4. Step 4: Simplify right side
    48,448.50x = 10,559,797,430.77
  5. Step 5: Solve for x
    x = 10,559,797,430.77/48,448.50
  6. Step 6: Final answer
    x = 217,959.22

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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.