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Finding the Third Proportional to 45,911.81 and 100,404.56

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Solution

The third proportional to 45,911.81 and 100,404.56 is: 219,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,911.81 : 100,404.56 = 100,404.56 : x
  2. Step 2: Convert to fraction form
    45,911.81/100,404.56 = 100,404.56/x
  3. Step 3: Cross multiply
    45,911.81x = 100,404.56 × 100,404.56
  4. Step 4: Simplify right side
    45,911.81x = 10,081,076,170.82
  5. Step 5: Solve for x
    x = 10,081,076,170.82/45,911.81
  6. Step 6: Final answer
    x = 219,574.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.