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Finding the Third Proportional to 101,558 and 220,065.50

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Solution

The third proportional to 101,558 and 220,065.50 is: 476,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,558 : 220,065.50 = 220,065.50 : x
  2. Step 2: Convert to fraction form
    101,558/220,065.50 = 220,065.50/x
  3. Step 3: Cross multiply
    101,558x = 220,065.50 × 220,065.50
  4. Step 4: Simplify right side
    101,558x = 48,428,824,290.25
  5. Step 5: Solve for x
    x = 48,428,824,290.25/101,558
  6. Step 6: Final answer
    x = 476,858.78

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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.