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Finding the Third Proportional to 48,645.56 and 105,553.13

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Solution

The third proportional to 48,645.56 and 105,553.13 is: 229,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,645.56 : 105,553.13 = 105,553.13 : x
  2. Step 2: Convert to fraction form
    48,645.56/105,553.13 = 105,553.13/x
  3. Step 3: Cross multiply
    48,645.56x = 105,553.13 × 105,553.13
  4. Step 4: Simplify right side
    48,645.56x = 11,141,462,197.27
  5. Step 5: Solve for x
    x = 11,141,462,197.27/48,645.56
  6. Step 6: Final answer
    x = 229,033.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.