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Finding the Third Proportional to 46,228 and 94,646

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Solution

The third proportional to 46,228 and 94,646 is: 193,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,228 : 94,646 = 94,646 : x
  2. Step 2: Convert to fraction form
    46,228/94,646 = 94,646/x
  3. Step 3: Cross multiply
    46,228x = 94,646 × 94,646
  4. Step 4: Simplify right side
    46,228x = 8,957,865,316
  5. Step 5: Solve for x
    x = 8,957,865,316/46,228
  6. Step 6: Final answer
    x = 193,775.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.