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Finding the Third Proportional to 90,282.09 and 192,228.19

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Solution

The third proportional to 90,282.09 and 192,228.19 is: 409,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,282.09 : 192,228.19 = 192,228.19 : x
  2. Step 2: Convert to fraction form
    90,282.09/192,228.19 = 192,228.19/x
  3. Step 3: Cross multiply
    90,282.09x = 192,228.19 × 192,228.19
  4. Step 4: Simplify right side
    90,282.09x = 36,951,676,069.54
  5. Step 5: Solve for x
    x = 36,951,676,069.54/90,282.09
  6. Step 6: Final answer
    x = 409,291.31

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1.5x scale

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.