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Finding the Third Proportional to 102,034.69 and 219,646.69

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Solution

The third proportional to 102,034.69 and 219,646.69 is: 472,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,034.69 : 219,646.69 = 219,646.69 : x
  2. Step 2: Convert to fraction form
    102,034.69/219,646.69 = 219,646.69/x
  3. Step 3: Cross multiply
    102,034.69x = 219,646.69 × 219,646.69
  4. Step 4: Simplify right side
    102,034.69x = 48,244,667,329.72
  5. Step 5: Solve for x
    x = 48,244,667,329.72/102,034.69
  6. Step 6: Final answer
    x = 472,826.14

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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.