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Finding the Third Proportional to 90,461.25 and 193,371.89

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Solution

The third proportional to 90,461.25 and 193,371.89 is: 413,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,461.25 : 193,371.89 = 193,371.89 : x
  2. Step 2: Convert to fraction form
    90,461.25/193,371.89 = 193,371.89/x
  3. Step 3: Cross multiply
    90,461.25x = 193,371.89 × 193,371.89
  4. Step 4: Simplify right side
    90,461.25x = 37,392,688,083.89
  5. Step 5: Solve for x
    x = 37,392,688,083.89/90,461.25
  6. Step 6: Final answer
    x = 413,355.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.