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Finding the Third Proportional to 47,206.50 and 96,781.50

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Solution

The third proportional to 47,206.50 and 96,781.50 is: 198,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,206.50 : 96,781.50 = 96,781.50 : x
  2. Step 2: Convert to fraction form
    47,206.50/96,781.50 = 96,781.50/x
  3. Step 3: Cross multiply
    47,206.50x = 96,781.50 × 96,781.50
  4. Step 4: Simplify right side
    47,206.50x = 9,366,658,742.25
  5. Step 5: Solve for x
    x = 9,366,658,742.25/47,206.50
  6. Step 6: Final answer
    x = 198,418.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.