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Finding the Third Proportional to 46,751.63 and 100,200.94

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Solution

The third proportional to 46,751.63 and 100,200.94 is: 214,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,751.63 : 100,200.94 = 100,200.94 : x
  2. Step 2: Convert to fraction form
    46,751.63/100,200.94 = 100,200.94/x
  3. Step 3: Cross multiply
    46,751.63x = 100,200.94 × 100,200.94
  4. Step 4: Simplify right side
    46,751.63x = 10,040,227,875.88
  5. Step 5: Solve for x
    x = 10,040,227,875.88/46,751.63
  6. Step 6: Final answer
    x = 214,756.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.