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Finding the Third Proportional to 46,808 and 107,516

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Solution

The third proportional to 46,808 and 107,516 is: 246,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,808 : 107,516 = 107,516 : x
  2. Step 2: Convert to fraction form
    46,808/107,516 = 107,516/x
  3. Step 3: Cross multiply
    46,808x = 107,516 × 107,516
  4. Step 4: Simplify right side
    46,808x = 11,559,690,256
  5. Step 5: Solve for x
    x = 11,559,690,256/46,808
  6. Step 6: Final answer
    x = 246,959.71

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.