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Finding the Third Proportional to 102,164 and 219,888

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Solution

The third proportional to 102,164 and 219,888 is: 473,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164 : 219,888 = 219,888 : x
  2. Step 2: Convert to fraction form
    102,164/219,888 = 219,888/x
  3. Step 3: Cross multiply
    102,164x = 219,888 × 219,888
  4. Step 4: Simplify right side
    102,164x = 48,350,732,544
  5. Step 5: Solve for x
    x = 48,350,732,544/102,164
  6. Step 6: Final answer
    x = 473,265.85

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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.