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Finding the Third Proportional to 46,899 and 103,385

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Solution

The third proportional to 46,899 and 103,385 is: 227,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,899 : 103,385 = 103,385 : x
  2. Step 2: Convert to fraction form
    46,899/103,385 = 103,385/x
  3. Step 3: Cross multiply
    46,899x = 103,385 × 103,385
  4. Step 4: Simplify right side
    46,899x = 10,688,458,225
  5. Step 5: Solve for x
    x = 10,688,458,225/46,899
  6. Step 6: Final answer
    x = 227,903.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.