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Finding the Third Proportional to 93,857.50 and 202,384.75

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Solution

The third proportional to 93,857.50 and 202,384.75 is: 436,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,857.50 : 202,384.75 = 202,384.75 : x
  2. Step 2: Convert to fraction form
    93,857.50/202,384.75 = 202,384.75/x
  3. Step 3: Cross multiply
    93,857.50x = 202,384.75 × 202,384.75
  4. Step 4: Simplify right side
    93,857.50x = 40,959,587,032.56
  5. Step 5: Solve for x
    x = 40,959,587,032.56/93,857.50
  6. Step 6: Final answer
    x = 436,401.85

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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.