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Finding the Third Proportional to 46,819 and 102,397

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Solution

The third proportional to 46,819 and 102,397 is: 223,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,819 : 102,397 = 102,397 : x
  2. Step 2: Convert to fraction form
    46,819/102,397 = 102,397/x
  3. Step 3: Cross multiply
    46,819x = 102,397 × 102,397
  4. Step 4: Simplify right side
    46,819x = 10,485,145,609
  5. Step 5: Solve for x
    x = 10,485,145,609/46,819
  6. Step 6: Final answer
    x = 223,950.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.