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Finding the Third Proportional to 49,111.13 and 106,047.75

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Solution

The third proportional to 49,111.13 and 106,047.75 is: 228,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,111.13 : 106,047.75 = 106,047.75 : x
  2. Step 2: Convert to fraction form
    49,111.13/106,047.75 = 106,047.75/x
  3. Step 3: Cross multiply
    49,111.13x = 106,047.75 × 106,047.75
  4. Step 4: Simplify right side
    49,111.13x = 11,246,125,280.06
  5. Step 5: Solve for x
    x = 11,246,125,280.06/49,111.13
  6. Step 6: Final answer
    x = 228,993.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.