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Finding the Third Proportional to 49,415.63 and 106,336.13

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Solution

The third proportional to 49,415.63 and 106,336.13 is: 228,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,415.63 : 106,336.13 = 106,336.13 : x
  2. Step 2: Convert to fraction form
    49,415.63/106,336.13 = 106,336.13/x
  3. Step 3: Cross multiply
    49,415.63x = 106,336.13 × 106,336.13
  4. Step 4: Simplify right side
    49,415.63x = 11,307,371,480.02
  5. Step 5: Solve for x
    x = 11,307,371,480.02/49,415.63
  6. Step 6: Final answer
    x = 228,821.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.