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Finding the Third Proportional to 90,895.50 and 193,455

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Solution

The third proportional to 90,895.50 and 193,455 is: 411,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,895.50 : 193,455 = 193,455 : x
  2. Step 2: Convert to fraction form
    90,895.50/193,455 = 193,455/x
  3. Step 3: Cross multiply
    90,895.50x = 193,455 × 193,455
  4. Step 4: Simplify right side
    90,895.50x = 37,424,837,025
  5. Step 5: Solve for x
    x = 37,424,837,025/90,895.50
  6. Step 6: Final answer
    x = 411,734.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.