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Finding the Third Proportional to 103,650 and 214,680

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Solution

The third proportional to 103,650 and 214,680 is: 444,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,650 : 214,680 = 214,680 : x
  2. Step 2: Convert to fraction form
    103,650/214,680 = 214,680/x
  3. Step 3: Cross multiply
    103,650x = 214,680 × 214,680
  4. Step 4: Simplify right side
    103,650x = 46,087,502,400
  5. Step 5: Solve for x
    x = 46,087,502,400/103,650
  6. Step 6: Final answer
    x = 444,645.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.