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Finding the Third Proportional to 104,211.38 and 212,106

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Solution

The third proportional to 104,211.38 and 212,106 is: 431,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,211.38 : 212,106 = 212,106 : x
  2. Step 2: Convert to fraction form
    104,211.38/212,106 = 212,106/x
  3. Step 3: Cross multiply
    104,211.38x = 212,106 × 212,106
  4. Step 4: Simplify right side
    104,211.38x = 44,988,955,236
  5. Step 5: Solve for x
    x = 44,988,955,236/104,211.38
  6. Step 6: Final answer
    x = 431,708.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.