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Finding the Third Proportional to 51,187.50 and 110,698.88

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Solution

The third proportional to 51,187.50 and 110,698.88 is: 239,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,187.50 : 110,698.88 = 110,698.88 : x
  2. Step 2: Convert to fraction form
    51,187.50/110,698.88 = 110,698.88/x
  3. Step 3: Cross multiply
    51,187.50x = 110,698.88 × 110,698.88
  4. Step 4: Simplify right side
    51,187.50x = 12,254,240,926.27
  5. Step 5: Solve for x
    x = 12,254,240,926.27/51,187.50
  6. Step 6: Final answer
    x = 239,399.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.