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Finding the Third Proportional to 90.70 and 214.03

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Solution

The third proportional to 90.70 and 214.03 is: 505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.70 : 214.03 = 214.03 : x
  2. Step 2: Convert to fraction form
    90.70/214.03 = 214.03/x
  3. Step 3: Cross multiply
    90.70x = 214.03 × 214.03
  4. Step 4: Simplify right side
    90.70x = 45,809.38
  5. Step 5: Solve for x
    x = 45,809.38/90.70
  6. Step 6: Final answer
    x = 505.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.