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Finding the Third Proportional to 75,745,975.50 and 163,578,123

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Solution

The third proportional to 75,745,975.50 and 163,578,123 is: 353,257,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,745,975.50 : 163,578,123 = 163,578,123 : x
  2. Step 2: Convert to fraction form
    75,745,975.50/163,578,123 = 163,578,123/x
  3. Step 3: Cross multiply
    75,745,975.50x = 163,578,123 × 163,578,123
  4. Step 4: Simplify right side
    75,745,975.50x = 26,757,802,324,203,128
  5. Step 5: Solve for x
    x = 26,757,802,324,203,128/75,745,975.50
  6. Step 6: Final answer
    x = 353,257,082.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.