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Finding the Third Proportional to 46,858.50 and 102,282.75

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Solution

The third proportional to 46,858.50 and 102,282.75 is: 223,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,858.50 : 102,282.75 = 102,282.75 : x
  2. Step 2: Convert to fraction form
    46,858.50/102,282.75 = 102,282.75/x
  3. Step 3: Cross multiply
    46,858.50x = 102,282.75 × 102,282.75
  4. Step 4: Simplify right side
    46,858.50x = 10,461,760,947.56
  5. Step 5: Solve for x
    x = 10,461,760,947.56/46,858.50
  6. Step 6: Final answer
    x = 223,262.82

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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.