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Finding the Third Proportional to 74,961,736.13 and 167,149,834.50

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Solution

The third proportional to 74,961,736.13 and 167,149,834.50 is: 372,711,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,961,736.13 : 167,149,834.50 = 167,149,834.50 : x
  2. Step 2: Convert to fraction form
    74,961,736.13/167,149,834.50 = 167,149,834.50/x
  3. Step 3: Cross multiply
    74,961,736.13x = 167,149,834.50 × 167,149,834.50
  4. Step 4: Simplify right side
    74,961,736.13x = 27,939,067,173,377,392
  5. Step 5: Solve for x
    x = 27,939,067,173,377,392/74,961,736.13
  6. Step 6: Final answer
    x = 372,711,047.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.