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Finding the Third Proportional to 46,378 and 100,147

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Solution

The third proportional to 46,378 and 100,147 is: 216,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,378 : 100,147 = 100,147 : x
  2. Step 2: Convert to fraction form
    46,378/100,147 = 100,147/x
  3. Step 3: Cross multiply
    46,378x = 100,147 × 100,147
  4. Step 4: Simplify right side
    46,378x = 10,029,421,609
  5. Step 5: Solve for x
    x = 10,029,421,609/46,378
  6. Step 6: Final answer
    x = 216,253.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.