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Finding the Third Proportional to 93,801.38 and 205,391.06

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Solution

The third proportional to 93,801.38 and 205,391.06 is: 449,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,801.38 : 205,391.06 = 205,391.06 : x
  2. Step 2: Convert to fraction form
    93,801.38/205,391.06 = 205,391.06/x
  3. Step 3: Cross multiply
    93,801.38x = 205,391.06 × 205,391.06
  4. Step 4: Simplify right side
    93,801.38x = 42,185,488,554.88
  5. Step 5: Solve for x
    x = 42,185,488,554.88/93,801.38
  6. Step 6: Final answer
    x = 449,732.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.