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Finding the Third Proportional to 46,975.50 and 101,340

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Solution

The third proportional to 46,975.50 and 101,340 is: 218,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,975.50 : 101,340 = 101,340 : x
  2. Step 2: Convert to fraction form
    46,975.50/101,340 = 101,340/x
  3. Step 3: Cross multiply
    46,975.50x = 101,340 × 101,340
  4. Step 4: Simplify right side
    46,975.50x = 10,269,795,600
  5. Step 5: Solve for x
    x = 10,269,795,600/46,975.50
  6. Step 6: Final answer
    x = 218,620.25

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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.