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Finding the Third Proportional to 93,341.25 and 204,826.50

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Solution

The third proportional to 93,341.25 and 204,826.50 is: 449,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,341.25 : 204,826.50 = 204,826.50 : x
  2. Step 2: Convert to fraction form
    93,341.25/204,826.50 = 204,826.50/x
  3. Step 3: Cross multiply
    93,341.25x = 204,826.50 × 204,826.50
  4. Step 4: Simplify right side
    93,341.25x = 41,953,895,102.25
  5. Step 5: Solve for x
    x = 41,953,895,102.25/93,341.25
  6. Step 6: Final answer
    x = 449,467.89

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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.