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Finding the Third Proportional to 101,608 and 215,504

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Solution

The third proportional to 101,608 and 215,504 is: 457,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,608 : 215,504 = 215,504 : x
  2. Step 2: Convert to fraction form
    101,608/215,504 = 215,504/x
  3. Step 3: Cross multiply
    101,608x = 215,504 × 215,504
  4. Step 4: Simplify right side
    101,608x = 46,441,974,016
  5. Step 5: Solve for x
    x = 46,441,974,016/101,608
  6. Step 6: Final answer
    x = 457,070.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.