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Finding the Third Proportional to 100,419 and 216,402

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Solution

The third proportional to 100,419 and 216,402 is: 466,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419 : 216,402 = 216,402 : x
  2. Step 2: Convert to fraction form
    100,419/216,402 = 216,402/x
  3. Step 3: Cross multiply
    100,419x = 216,402 × 216,402
  4. Step 4: Simplify right side
    100,419x = 46,829,825,604
  5. Step 5: Solve for x
    x = 46,829,825,604/100,419
  6. Step 6: Final answer
    x = 466,344.27

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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.