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Finding the Third Proportional to 46,347 and 101,190

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Solution

The third proportional to 46,347 and 101,190 is: 220,929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,347 : 101,190 = 101,190 : x
  2. Step 2: Convert to fraction form
    46,347/101,190 = 101,190/x
  3. Step 3: Cross multiply
    46,347x = 101,190 × 101,190
  4. Step 4: Simplify right side
    46,347x = 10,239,416,100
  5. Step 5: Solve for x
    x = 10,239,416,100/46,347
  6. Step 6: Final answer
    x = 220,929.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.