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Finding the Third Proportional to 47,766.38 and 100,180.13

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Solution

The third proportional to 47,766.38 and 100,180.13 is: 210,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,766.38 : 100,180.13 = 100,180.13 : x
  2. Step 2: Convert to fraction form
    47,766.38/100,180.13 = 100,180.13/x
  3. Step 3: Cross multiply
    47,766.38x = 100,180.13 × 100,180.13
  4. Step 4: Simplify right side
    47,766.38x = 10,036,057,445.02
  5. Step 5: Solve for x
    x = 10,036,057,445.02/47,766.38
  6. Step 6: Final answer
    x = 210,107.16

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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.