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Finding the Third Proportional to 46,147 and 100,297

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Solution

The third proportional to 46,147 and 100,297 is: 217,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,147 : 100,297 = 100,297 : x
  2. Step 2: Convert to fraction form
    46,147/100,297 = 100,297/x
  3. Step 3: Cross multiply
    46,147x = 100,297 × 100,297
  4. Step 4: Simplify right side
    46,147x = 10,059,488,209
  5. Step 5: Solve for x
    x = 10,059,488,209/46,147
  6. Step 6: Final answer
    x = 217,987.91

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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.