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Finding the Third Proportional to 103,898 and 227,236

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Solution

The third proportional to 103,898 and 227,236 is: 496,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,898 : 227,236 = 227,236 : x
  2. Step 2: Convert to fraction form
    103,898/227,236 = 227,236/x
  3. Step 3: Cross multiply
    103,898x = 227,236 × 227,236
  4. Step 4: Simplify right side
    103,898x = 51,636,199,696
  5. Step 5: Solve for x
    x = 51,636,199,696/103,898
  6. Step 6: Final answer
    x = 496,989.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.