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Finding the Third Proportional to 100,266 and 214,062.38

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Solution

The third proportional to 100,266 and 214,062.38 is: 457,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,266 : 214,062.38 = 214,062.38 : x
  2. Step 2: Convert to fraction form
    100,266/214,062.38 = 214,062.38/x
  3. Step 3: Cross multiply
    100,266x = 214,062.38 × 214,062.38
  4. Step 4: Simplify right side
    100,266x = 45,822,700,390.64
  5. Step 5: Solve for x
    x = 45,822,700,390.64/100,266
  6. Step 6: Final answer
    x = 457,011.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.