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Finding the Third Proportional to 102,307.50 and 222,108.75

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Solution

The third proportional to 102,307.50 and 222,108.75 is: 482,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,307.50 : 222,108.75 = 222,108.75 : x
  2. Step 2: Convert to fraction form
    102,307.50/222,108.75 = 222,108.75/x
  3. Step 3: Cross multiply
    102,307.50x = 222,108.75 × 222,108.75
  4. Step 4: Simplify right side
    102,307.50x = 49,332,296,826.56
  5. Step 5: Solve for x
    x = 49,332,296,826.56/102,307.50
  6. Step 6: Final answer
    x = 482,196.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.