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Finding the Third Proportional to 46,503 and 96,516

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Solution

The third proportional to 46,503 and 96,516 is: 200,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,503 : 96,516 = 96,516 : x
  2. Step 2: Convert to fraction form
    46,503/96,516 = 96,516/x
  3. Step 3: Cross multiply
    46,503x = 96,516 × 96,516
  4. Step 4: Simplify right side
    46,503x = 9,315,338,256
  5. Step 5: Solve for x
    x = 9,315,338,256/46,503
  6. Step 6: Final answer
    x = 200,316.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.