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Finding the Third Proportional to 50,321,472.75 and 110,064,534.75

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Solution

The third proportional to 50,321,472.75 and 110,064,534.75 is: 240,736,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,321,472.75 : 110,064,534.75 = 110,064,534.75 : x
  2. Step 2: Convert to fraction form
    50,321,472.75/110,064,534.75 = 110,064,534.75/x
  3. Step 3: Cross multiply
    50,321,472.75x = 110,064,534.75 × 110,064,534.75
  4. Step 4: Simplify right side
    50,321,472.75x = 12,114,201,809,733,958
  5. Step 5: Solve for x
    x = 12,114,201,809,733,958/50,321,472.75
  6. Step 6: Final answer
    x = 240,736,233.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.