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Finding the Third Proportional to 103,683 and 218,436

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Solution

The third proportional to 103,683 and 218,436 is: 460,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683 : 218,436 = 218,436 : x
  2. Step 2: Convert to fraction form
    103,683/218,436 = 218,436/x
  3. Step 3: Cross multiply
    103,683x = 218,436 × 218,436
  4. Step 4: Simplify right side
    103,683x = 47,714,286,096
  5. Step 5: Solve for x
    x = 47,714,286,096/103,683
  6. Step 6: Final answer
    x = 460,193.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.