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Finding the Third Proportional to 74,474,239.50 and 115,608,633.75

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Solution

The third proportional to 74,474,239.50 and 115,608,633.75 is: 179,462,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,474,239.50 : 115,608,633.75 = 115,608,633.75 : x
  2. Step 2: Convert to fraction form
    74,474,239.50/115,608,633.75 = 115,608,633.75/x
  3. Step 3: Cross multiply
    74,474,239.50x = 115,608,633.75 × 115,608,633.75
  4. Step 4: Simplify right side
    74,474,239.50x = 13,365,356,197,541,640
  5. Step 5: Solve for x
    x = 13,365,356,197,541,640/74,474,239.50
  6. Step 6: Final answer
    x = 179,462,808.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.