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Finding the Third Proportional to 93,478.13 and 202,728.75

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Solution

The third proportional to 93,478.13 and 202,728.75 is: 439,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,478.13 : 202,728.75 = 202,728.75 : x
  2. Step 2: Convert to fraction form
    93,478.13/202,728.75 = 202,728.75/x
  3. Step 3: Cross multiply
    93,478.13x = 202,728.75 × 202,728.75
  4. Step 4: Simplify right side
    93,478.13x = 41,098,946,076.56
  5. Step 5: Solve for x
    x = 41,098,946,076.56/93,478.13
  6. Step 6: Final answer
    x = 439,663.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.