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Finding the Third Proportional to 103,633.13 and 223,122

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Solution

The third proportional to 103,633.13 and 223,122 is: 480,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633.13 : 223,122 = 223,122 : x
  2. Step 2: Convert to fraction form
    103,633.13/223,122 = 223,122/x
  3. Step 3: Cross multiply
    103,633.13x = 223,122 × 223,122
  4. Step 4: Simplify right side
    103,633.13x = 49,783,426,884
  5. Step 5: Solve for x
    x = 49,783,426,884/103,633.13
  6. Step 6: Final answer
    x = 480,381.41

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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.