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Finding the Third Proportional to 105,065.44 and 224,893.13

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Solution

The third proportional to 105,065.44 and 224,893.13 is: 481,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,065.44 : 224,893.13 = 224,893.13 : x
  2. Step 2: Convert to fraction form
    105,065.44/224,893.13 = 224,893.13/x
  3. Step 3: Cross multiply
    105,065.44x = 224,893.13 × 224,893.13
  4. Step 4: Simplify right side
    105,065.44x = 50,576,917,672.27
  5. Step 5: Solve for x
    x = 50,576,917,672.27/105,065.44
  6. Step 6: Final answer
    x = 481,384.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.