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Finding the Third Proportional to 48,945.44 and 103,681.94

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Solution

The third proportional to 48,945.44 and 103,681.94 is: 219,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,945.44 : 103,681.94 = 103,681.94 : x
  2. Step 2: Convert to fraction form
    48,945.44/103,681.94 = 103,681.94/x
  3. Step 3: Cross multiply
    48,945.44x = 103,681.94 × 103,681.94
  4. Step 4: Simplify right side
    48,945.44x = 10,749,944,163.75
  5. Step 5: Solve for x
    x = 10,749,944,163.75/48,945.44
  6. Step 6: Final answer
    x = 219,631.18

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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.