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Finding the Third Proportional to 46,093.50 and 96,822

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Solution

The third proportional to 46,093.50 and 96,822 is: 203,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,093.50 : 96,822 = 96,822 : x
  2. Step 2: Convert to fraction form
    46,093.50/96,822 = 96,822/x
  3. Step 3: Cross multiply
    46,093.50x = 96,822 × 96,822
  4. Step 4: Simplify right side
    46,093.50x = 9,374,499,684
  5. Step 5: Solve for x
    x = 9,374,499,684/46,093.50
  6. Step 6: Final answer
    x = 203,380.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.