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Finding the Third Proportional to 101,536.50 and 220,022

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Solution

The third proportional to 101,536.50 and 220,022 is: 476,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,536.50 : 220,022 = 220,022 : x
  2. Step 2: Convert to fraction form
    101,536.50/220,022 = 220,022/x
  3. Step 3: Cross multiply
    101,536.50x = 220,022 × 220,022
  4. Step 4: Simplify right side
    101,536.50x = 48,409,680,484
  5. Step 5: Solve for x
    x = 48,409,680,484/101,536.50
  6. Step 6: Final answer
    x = 476,771.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.