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Finding the Third Proportional to 101,210.06 and 217,989.84

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Solution

The third proportional to 101,210.06 and 217,989.84 is: 469,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,210.06 : 217,989.84 = 217,989.84 : x
  2. Step 2: Convert to fraction form
    101,210.06/217,989.84 = 217,989.84/x
  3. Step 3: Cross multiply
    101,210.06x = 217,989.84 × 217,989.84
  4. Step 4: Simplify right side
    101,210.06x = 47,519,571,978.15
  5. Step 5: Solve for x
    x = 47,519,571,978.15/101,210.06
  6. Step 6: Final answer
    x = 469,514.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.