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Finding the Third Proportional to 46,450 and 100,352

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Solution

The third proportional to 46,450 and 100,352 is: 216,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,450 : 100,352 = 100,352 : x
  2. Step 2: Convert to fraction form
    46,450/100,352 = 100,352/x
  3. Step 3: Cross multiply
    46,450x = 100,352 × 100,352
  4. Step 4: Simplify right side
    46,450x = 10,070,523,904
  5. Step 5: Solve for x
    x = 10,070,523,904/46,450
  6. Step 6: Final answer
    x = 216,803.53

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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.