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Finding the Third Proportional to 46,418 and 95,294

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Solution

The third proportional to 46,418 and 95,294 is: 195,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,418 : 95,294 = 95,294 : x
  2. Step 2: Convert to fraction form
    46,418/95,294 = 95,294/x
  3. Step 3: Cross multiply
    46,418x = 95,294 × 95,294
  4. Step 4: Simplify right side
    46,418x = 9,080,946,436
  5. Step 5: Solve for x
    x = 9,080,946,436/46,418
  6. Step 6: Final answer
    x = 195,634.16

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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.