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Finding the Third Proportional to 100,230 and 217,948

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Solution

The third proportional to 100,230 and 217,948 is: 473,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,230 : 217,948 = 217,948 : x
  2. Step 2: Convert to fraction form
    100,230/217,948 = 217,948/x
  3. Step 3: Cross multiply
    100,230x = 217,948 × 217,948
  4. Step 4: Simplify right side
    100,230x = 47,501,330,704
  5. Step 5: Solve for x
    x = 47,501,330,704/100,230
  6. Step 6: Final answer
    x = 473,923.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.