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Finding the Third Proportional to 80,496,049 and 125,527,033.50

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Solution

The third proportional to 80,496,049 and 125,527,033.50 is: 195,749,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,496,049 : 125,527,033.50 = 125,527,033.50 : x
  2. Step 2: Convert to fraction form
    80,496,049/125,527,033.50 = 125,527,033.50/x
  3. Step 3: Cross multiply
    80,496,049x = 125,527,033.50 × 125,527,033.50
  4. Step 4: Simplify right side
    80,496,049x = 15,757,036,139,310,122
  5. Step 5: Solve for x
    x = 15,757,036,139,310,122/80,496,049
  6. Step 6: Final answer
    x = 195,749,186.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.