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Finding the Third Proportional to 96,953.75 and 202,691

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Solution

The third proportional to 96,953.75 and 202,691 is: 423,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,953.75 : 202,691 = 202,691 : x
  2. Step 2: Convert to fraction form
    96,953.75/202,691 = 202,691/x
  3. Step 3: Cross multiply
    96,953.75x = 202,691 × 202,691
  4. Step 4: Simplify right side
    96,953.75x = 41,083,641,481
  5. Step 5: Solve for x
    x = 41,083,641,481/96,953.75
  6. Step 6: Final answer
    x = 423,744.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.