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Finding the Third Proportional to 45,600.47 and 106,509.94

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Solution

The third proportional to 45,600.47 and 106,509.94 is: 248,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,600.47 : 106,509.94 = 106,509.94 : x
  2. Step 2: Convert to fraction form
    45,600.47/106,509.94 = 106,509.94/x
  3. Step 3: Cross multiply
    45,600.47x = 106,509.94 × 106,509.94
  4. Step 4: Simplify right side
    45,600.47x = 11,344,366,786.25
  5. Step 5: Solve for x
    x = 11,344,366,786.25/45,600.47
  6. Step 6: Final answer
    x = 248,777.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.