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Finding the Third Proportional to 46,827.75 and 101,970.75

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Solution

The third proportional to 46,827.75 and 101,970.75 is: 222,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,827.75 : 101,970.75 = 101,970.75 : x
  2. Step 2: Convert to fraction form
    46,827.75/101,970.75 = 101,970.75/x
  3. Step 3: Cross multiply
    46,827.75x = 101,970.75 × 101,970.75
  4. Step 4: Simplify right side
    46,827.75x = 10,398,033,855.56
  5. Step 5: Solve for x
    x = 10,398,033,855.56/46,827.75
  6. Step 6: Final answer
    x = 222,048.55

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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.