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Finding the Third Proportional to 85,996.69 and 202,344.75

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Solution

The third proportional to 85,996.69 and 202,344.75 is: 476,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,996.69 : 202,344.75 = 202,344.75 : x
  2. Step 2: Convert to fraction form
    85,996.69/202,344.75 = 202,344.75/x
  3. Step 3: Cross multiply
    85,996.69x = 202,344.75 × 202,344.75
  4. Step 4: Simplify right side
    85,996.69x = 40,943,397,852.56
  5. Step 5: Solve for x
    x = 40,943,397,852.56/85,996.69
  6. Step 6: Final answer
    x = 476,104.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.