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Finding the Third Proportional to 211,093.88 and 311,056.88

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Solution

The third proportional to 211,093.88 and 311,056.88 is: 458,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,093.88 : 311,056.88 = 311,056.88 : x
  2. Step 2: Convert to fraction form
    211,093.88/311,056.88 = 311,056.88/x
  3. Step 3: Cross multiply
    211,093.88x = 311,056.88 × 311,056.88
  4. Step 4: Simplify right side
    211,093.88x = 96,756,379,484.77
  5. Step 5: Solve for x
    x = 96,756,379,484.77/211,093.88
  6. Step 6: Final answer
    x = 458,357.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.