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Finding the Third Proportional to 100,960.31 and 220,256.81

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Solution

The third proportional to 100,960.31 and 220,256.81 is: 480,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,960.31 : 220,256.81 = 220,256.81 : x
  2. Step 2: Convert to fraction form
    100,960.31/220,256.81 = 220,256.81/x
  3. Step 3: Cross multiply
    100,960.31x = 220,256.81 × 220,256.81
  4. Step 4: Simplify right side
    100,960.31x = 48,513,063,452.66
  5. Step 5: Solve for x
    x = 48,513,063,452.66/100,960.31
  6. Step 6: Final answer
    x = 480,516.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.