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Finding the Third Proportional to 50,386 and 109,843

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Solution

The third proportional to 50,386 and 109,843 is: 239,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,386 : 109,843 = 109,843 : x
  2. Step 2: Convert to fraction form
    50,386/109,843 = 109,843/x
  3. Step 3: Cross multiply
    50,386x = 109,843 × 109,843
  4. Step 4: Simplify right side
    50,386x = 12,065,484,649
  5. Step 5: Solve for x
    x = 12,065,484,649/50,386
  6. Step 6: Final answer
    x = 239,461.05

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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.