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Finding the Third Proportional to 46,609.50 and 100,689

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Solution

The third proportional to 46,609.50 and 100,689 is: 217,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,609.50 : 100,689 = 100,689 : x
  2. Step 2: Convert to fraction form
    46,609.50/100,689 = 100,689/x
  3. Step 3: Cross multiply
    46,609.50x = 100,689 × 100,689
  4. Step 4: Simplify right side
    46,609.50x = 10,138,274,721
  5. Step 5: Solve for x
    x = 10,138,274,721/46,609.50
  6. Step 6: Final answer
    x = 217,515.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.