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Finding the Third Proportional to 101,000.75 and 212,470.75

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Solution

The third proportional to 101,000.75 and 212,470.75 is: 446,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,000.75 : 212,470.75 = 212,470.75 : x
  2. Step 2: Convert to fraction form
    101,000.75/212,470.75 = 212,470.75/x
  3. Step 3: Cross multiply
    101,000.75x = 212,470.75 × 212,470.75
  4. Step 4: Simplify right side
    101,000.75x = 45,143,819,605.56
  5. Step 5: Solve for x
    x = 45,143,819,605.56/101,000.75
  6. Step 6: Final answer
    x = 446,965.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.