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Finding the Third Proportional to 46,727.90 and 102,797.54

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Solution

The third proportional to 46,727.90 and 102,797.54 is: 226,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,727.90 : 102,797.54 = 102,797.54 : x
  2. Step 2: Convert to fraction form
    46,727.90/102,797.54 = 102,797.54/x
  3. Step 3: Cross multiply
    46,727.90x = 102,797.54 × 102,797.54
  4. Step 4: Simplify right side
    46,727.90x = 10,567,334,840.41
  5. Step 5: Solve for x
    x = 10,567,334,840.41/46,727.90
  6. Step 6: Final answer
    x = 226,146.14

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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.