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Finding the Third Proportional to 46,238 and 100,348

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Solution

The third proportional to 46,238 and 100,348 is: 217,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,238 : 100,348 = 100,348 : x
  2. Step 2: Convert to fraction form
    46,238/100,348 = 100,348/x
  3. Step 3: Cross multiply
    46,238x = 100,348 × 100,348
  4. Step 4: Simplify right side
    46,238x = 10,069,721,104
  5. Step 5: Solve for x
    x = 10,069,721,104/46,238
  6. Step 6: Final answer
    x = 217,780.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.