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Finding the Third Proportional to 51,111 and 104,290.88

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Solution

The third proportional to 51,111 and 104,290.88 is: 212,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,111 : 104,290.88 = 104,290.88 : x
  2. Step 2: Convert to fraction form
    51,111/104,290.88 = 104,290.88/x
  3. Step 3: Cross multiply
    51,111x = 104,290.88 × 104,290.88
  4. Step 4: Simplify right side
    51,111x = 10,876,586,608.27
  5. Step 5: Solve for x
    x = 10,876,586,608.27/51,111
  6. Step 6: Final answer
    x = 212,803.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.