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Finding the Third Proportional to 101,175 and 218,560.25

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Solution

The third proportional to 101,175 and 218,560.25 is: 472,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,175 : 218,560.25 = 218,560.25 : x
  2. Step 2: Convert to fraction form
    101,175/218,560.25 = 218,560.25/x
  3. Step 3: Cross multiply
    101,175x = 218,560.25 × 218,560.25
  4. Step 4: Simplify right side
    101,175x = 47,768,582,880.06
  5. Step 5: Solve for x
    x = 47,768,582,880.06/101,175
  6. Step 6: Final answer
    x = 472,138.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.