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Finding the Third Proportional to 49,111 and 107,218

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Solution

The third proportional to 49,111 and 107,218 is: 234,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,111 : 107,218 = 107,218 : x
  2. Step 2: Convert to fraction form
    49,111/107,218 = 107,218/x
  3. Step 3: Cross multiply
    49,111x = 107,218 × 107,218
  4. Step 4: Simplify right side
    49,111x = 11,495,699,524
  5. Step 5: Solve for x
    x = 11,495,699,524/49,111
  6. Step 6: Final answer
    x = 234,075.86

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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.