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Finding the Third Proportional to 46,817.44 and 102,393.56

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Solution

The third proportional to 46,817.44 and 102,393.56 is: 223,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,817.44 : 102,393.56 = 102,393.56 : x
  2. Step 2: Convert to fraction form
    46,817.44/102,393.56 = 102,393.56/x
  3. Step 3: Cross multiply
    46,817.44x = 102,393.56 × 102,393.56
  4. Step 4: Simplify right side
    46,817.44x = 10,484,441,641.44
  5. Step 5: Solve for x
    x = 10,484,441,641.44/46,817.44
  6. Step 6: Final answer
    x = 223,943.09

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Why These Related Problems?

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