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Finding the Third Proportional to 90,514.13 and 204,106.50

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Solution

The third proportional to 90,514.13 and 204,106.50 is: 460,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,514.13 : 204,106.50 = 204,106.50 : x
  2. Step 2: Convert to fraction form
    90,514.13/204,106.50 = 204,106.50/x
  3. Step 3: Cross multiply
    90,514.13x = 204,106.50 × 204,106.50
  4. Step 4: Simplify right side
    90,514.13x = 41,659,463,342.25
  5. Step 5: Solve for x
    x = 41,659,463,342.25/90,514.13
  6. Step 6: Final answer
    x = 460,253.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.