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Finding the Third Proportional to 100,019 and 236,102

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Solution

The third proportional to 100,019 and 236,102 is: 557,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,019 : 236,102 = 236,102 : x
  2. Step 2: Convert to fraction form
    100,019/236,102 = 236,102/x
  3. Step 3: Cross multiply
    100,019x = 236,102 × 236,102
  4. Step 4: Simplify right side
    100,019x = 55,744,154,404
  5. Step 5: Solve for x
    x = 55,744,154,404/100,019
  6. Step 6: Final answer
    x = 557,335.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.