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Finding the Third Proportional to 102,119.06 and 219,623.06

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Solution

The third proportional to 102,119.06 and 219,623.06 is: 472,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,119.06 : 219,623.06 = 219,623.06 : x
  2. Step 2: Convert to fraction form
    102,119.06/219,623.06 = 219,623.06/x
  3. Step 3: Cross multiply
    102,119.06x = 219,623.06 × 219,623.06
  4. Step 4: Simplify right side
    102,119.06x = 48,234,289,581.88
  5. Step 5: Solve for x
    x = 48,234,289,581.88/102,119.06
  6. Step 6: Final answer
    x = 472,333.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.