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Finding the Third Proportional to 49,911 and 108,216

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Solution

The third proportional to 49,911 and 108,216 is: 234,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,911 : 108,216 = 108,216 : x
  2. Step 2: Convert to fraction form
    49,911/108,216 = 108,216/x
  3. Step 3: Cross multiply
    49,911x = 108,216 × 108,216
  4. Step 4: Simplify right side
    49,911x = 11,710,702,656
  5. Step 5: Solve for x
    x = 11,710,702,656/49,911
  6. Step 6: Final answer
    x = 234,631.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.