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Finding the Third Proportional to 51,511 and 108,649.50

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Solution

The third proportional to 51,511 and 108,649.50 is: 229,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,511 : 108,649.50 = 108,649.50 : x
  2. Step 2: Convert to fraction form
    51,511/108,649.50 = 108,649.50/x
  3. Step 3: Cross multiply
    51,511x = 108,649.50 × 108,649.50
  4. Step 4: Simplify right side
    51,511x = 11,804,713,850.25
  5. Step 5: Solve for x
    x = 11,804,713,850.25/51,511
  6. Step 6: Final answer
    x = 229,168.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.