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Finding the Third Proportional to 98,466.75 and 216,079.88

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Solution

The third proportional to 98,466.75 and 216,079.88 is: 474,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,466.75 : 216,079.88 = 216,079.88 : x
  2. Step 2: Convert to fraction form
    98,466.75/216,079.88 = 216,079.88/x
  3. Step 3: Cross multiply
    98,466.75x = 216,079.88 × 216,079.88
  4. Step 4: Simplify right side
    98,466.75x = 46,690,512,380.02
  5. Step 5: Solve for x
    x = 46,690,512,380.02/98,466.75
  6. Step 6: Final answer
    x = 474,175.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.