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Finding the Third Proportional to 46,986.50 and 102,455

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Solution

The third proportional to 46,986.50 and 102,455 is: 223,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,986.50 : 102,455 = 102,455 : x
  2. Step 2: Convert to fraction form
    46,986.50/102,455 = 102,455/x
  3. Step 3: Cross multiply
    46,986.50x = 102,455 × 102,455
  4. Step 4: Simplify right side
    46,986.50x = 10,497,027,025
  5. Step 5: Solve for x
    x = 10,497,027,025/46,986.50
  6. Step 6: Final answer
    x = 223,405.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.