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Finding the Third Proportional to 46,177.59 and 100,890.56

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Solution

The third proportional to 46,177.59 and 100,890.56 is: 220,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,177.59 : 100,890.56 = 100,890.56 : x
  2. Step 2: Convert to fraction form
    46,177.59/100,890.56 = 100,890.56/x
  3. Step 3: Cross multiply
    46,177.59x = 100,890.56 × 100,890.56
  4. Step 4: Simplify right side
    46,177.59x = 10,178,905,601.57
  5. Step 5: Solve for x
    x = 10,178,905,601.57/46,177.59
  6. Step 6: Final answer
    x = 220,429.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.