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Finding the Third Proportional to 49,580.16 and 101,800.41

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Solution

The third proportional to 49,580.16 and 101,800.41 is: 209,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,580.16 : 101,800.41 = 101,800.41 : x
  2. Step 2: Convert to fraction form
    49,580.16/101,800.41 = 101,800.41/x
  3. Step 3: Cross multiply
    49,580.16x = 101,800.41 × 101,800.41
  4. Step 4: Simplify right side
    49,580.16x = 10,363,322,712.67
  5. Step 5: Solve for x
    x = 10,363,322,712.67/49,580.16
  6. Step 6: Final answer
    x = 209,021.58

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.