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Finding the Third Proportional to 106,203 and 229,614

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Solution

The third proportional to 106,203 and 229,614 is: 496,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,203 : 229,614 = 229,614 : x
  2. Step 2: Convert to fraction form
    106,203/229,614 = 229,614/x
  3. Step 3: Cross multiply
    106,203x = 229,614 × 229,614
  4. Step 4: Simplify right side
    106,203x = 52,722,588,996
  5. Step 5: Solve for x
    x = 52,722,588,996/106,203
  6. Step 6: Final answer
    x = 496,432.20

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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.