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Finding the Third Proportional to 100.13 and 214.84

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Solution

The third proportional to 100.13 and 214.84 is: 461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.13 : 214.84 = 214.84 : x
  2. Step 2: Convert to fraction form
    100.13/214.84 = 214.84/x
  3. Step 3: Cross multiply
    100.13x = 214.84 × 214.84
  4. Step 4: Simplify right side
    100.13x = 46,157.84
  5. Step 5: Solve for x
    x = 46,157.84/100.13
  6. Step 6: Final answer
    x = 461.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.