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Finding the Third Proportional to 93,624.61 and 202,213.97

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Solution

The third proportional to 93,624.61 and 202,213.97 is: 436,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,624.61 : 202,213.97 = 202,213.97 : x
  2. Step 2: Convert to fraction form
    93,624.61/202,213.97 = 202,213.97/x
  3. Step 3: Cross multiply
    93,624.61x = 202,213.97 × 202,213.97
  4. Step 4: Simplify right side
    93,624.61x = 40,890,489,157.63
  5. Step 5: Solve for x
    x = 40,890,489,157.63/93,624.61
  6. Step 6: Final answer
    x = 436,749.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.