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Finding the Third Proportional to 93,731.75 and 202,434.25

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Solution

The third proportional to 93,731.75 and 202,434.25 is: 437,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,731.75 : 202,434.25 = 202,434.25 : x
  2. Step 2: Convert to fraction form
    93,731.75/202,434.25 = 202,434.25/x
  3. Step 3: Cross multiply
    93,731.75x = 202,434.25 × 202,434.25
  4. Step 4: Simplify right side
    93,731.75x = 40,979,625,573.06
  5. Step 5: Solve for x
    x = 40,979,625,573.06/93,731.75
  6. Step 6: Final answer
    x = 437,201.11

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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.