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Finding the Third Proportional to 100,959.94 and 220,256.06

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Solution

The third proportional to 100,959.94 and 220,256.06 is: 480,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,959.94 : 220,256.06 = 220,256.06 : x
  2. Step 2: Convert to fraction form
    100,959.94/220,256.06 = 220,256.06/x
  3. Step 3: Cross multiply
    100,959.94x = 220,256.06 × 220,256.06
  4. Step 4: Simplify right side
    100,959.94x = 48,512,733,068.00
  5. Step 5: Solve for x
    x = 48,512,733,068.00/100,959.94
  6. Step 6: Final answer
    x = 480,514.69

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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.