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Finding the Third Proportional to 103,683.38 and 218,433.38

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Solution

The third proportional to 103,683.38 and 218,433.38 is: 460,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683.38 : 218,433.38 = 218,433.38 : x
  2. Step 2: Convert to fraction form
    103,683.38/218,433.38 = 218,433.38/x
  3. Step 3: Cross multiply
    103,683.38x = 218,433.38 × 218,433.38
  4. Step 4: Simplify right side
    103,683.38x = 47,713,139,313.89
  5. Step 5: Solve for x
    x = 47,713,139,313.89/103,683.38
  6. Step 6: Final answer
    x = 460,181.19

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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.