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Finding the Third Proportional to 94,744.50 and 202,617

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Solution

The third proportional to 94,744.50 and 202,617 is: 433,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,744.50 : 202,617 = 202,617 : x
  2. Step 2: Convert to fraction form
    94,744.50/202,617 = 202,617/x
  3. Step 3: Cross multiply
    94,744.50x = 202,617 × 202,617
  4. Step 4: Simplify right side
    94,744.50x = 41,053,648,689
  5. Step 5: Solve for x
    x = 41,053,648,689/94,744.50
  6. Step 6: Final answer
    x = 433,309.04

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Why These Related Problems?

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