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Finding the Third Proportional to 50,385.25 and 109,980.25

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Solution

The third proportional to 50,385.25 and 109,980.25 is: 240,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,385.25 : 109,980.25 = 109,980.25 : x
  2. Step 2: Convert to fraction form
    50,385.25/109,980.25 = 109,980.25/x
  3. Step 3: Cross multiply
    50,385.25x = 109,980.25 × 109,980.25
  4. Step 4: Simplify right side
    50,385.25x = 12,095,655,390.06
  5. Step 5: Solve for x
    x = 12,095,655,390.06/50,385.25
  6. Step 6: Final answer
    x = 240,063.42

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