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Finding the Third Proportional to 50,388 and 109,986

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Solution

The third proportional to 50,388 and 109,986 is: 240,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,388 : 109,986 = 109,986 : x
  2. Step 2: Convert to fraction form
    50,388/109,986 = 109,986/x
  3. Step 3: Cross multiply
    50,388x = 109,986 × 109,986
  4. Step 4: Simplify right side
    50,388x = 12,096,920,196
  5. Step 5: Solve for x
    x = 12,096,920,196/50,388
  6. Step 6: Final answer
    x = 240,075.42

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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.