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Finding the Third Proportional to 46,920.20 and 101,221.21

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Solution

The third proportional to 46,920.20 and 101,221.21 is: 218,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,920.20 : 101,221.21 = 101,221.21 : x
  2. Step 2: Convert to fraction form
    46,920.20/101,221.21 = 101,221.21/x
  3. Step 3: Cross multiply
    46,920.20x = 101,221.21 × 101,221.21
  4. Step 4: Simplify right side
    46,920.20x = 10,245,732,752.86
  5. Step 5: Solve for x
    x = 10,245,732,752.86/46,920.20
  6. Step 6: Final answer
    x = 218,365.07

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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.