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Finding the Third Proportional to 45,245.63 and 99,375.94

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Solution

The third proportional to 45,245.63 and 99,375.94 is: 218,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,245.63 : 99,375.94 = 99,375.94 : x
  2. Step 2: Convert to fraction form
    45,245.63/99,375.94 = 99,375.94/x
  3. Step 3: Cross multiply
    45,245.63x = 99,375.94 × 99,375.94
  4. Step 4: Simplify right side
    45,245.63x = 9,875,576,954.00
  5. Step 5: Solve for x
    x = 9,875,576,954.00/45,245.63
  6. Step 6: Final answer
    x = 218,265.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.