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Finding the Third Proportional to 101,558 and 220,050.25

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Solution

The third proportional to 101,558 and 220,050.25 is: 476,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,558 : 220,050.25 = 220,050.25 : x
  2. Step 2: Convert to fraction form
    101,558/220,050.25 = 220,050.25/x
  3. Step 3: Cross multiply
    101,558x = 220,050.25 × 220,050.25
  4. Step 4: Simplify right side
    101,558x = 48,422,112,525.06
  5. Step 5: Solve for x
    x = 48,422,112,525.06/101,558
  6. Step 6: Final answer
    x = 476,792.70

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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.