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Finding the Third Proportional to 102,115.69 and 222,228.56

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Solution

The third proportional to 102,115.69 and 222,228.56 is: 483,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.69 : 222,228.56 = 222,228.56 : x
  2. Step 2: Convert to fraction form
    102,115.69/222,228.56 = 222,228.56/x
  3. Step 3: Cross multiply
    102,115.69x = 222,228.56 × 222,228.56
  4. Step 4: Simplify right side
    102,115.69x = 49,385,533,990.82
  5. Step 5: Solve for x
    x = 49,385,533,990.82/102,115.69
  6. Step 6: Final answer
    x = 483,623.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.