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Finding the Third Proportional to 93,980.25 and 203,541.75

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Solution

The third proportional to 93,980.25 and 203,541.75 is: 440,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,980.25 : 203,541.75 = 203,541.75 : x
  2. Step 2: Convert to fraction form
    93,980.25/203,541.75 = 203,541.75/x
  3. Step 3: Cross multiply
    93,980.25x = 203,541.75 × 203,541.75
  4. Step 4: Simplify right side
    93,980.25x = 41,429,243,993.06
  5. Step 5: Solve for x
    x = 41,429,243,993.06/93,980.25
  6. Step 6: Final answer
    x = 440,829.26

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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.