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Finding the Third Proportional to 80,496,049 and 125,527,034

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Solution

The third proportional to 80,496,049 and 125,527,034 is: 195,749,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,496,049 : 125,527,034 = 125,527,034 : x
  2. Step 2: Convert to fraction form
    80,496,049/125,527,034 = 125,527,034/x
  3. Step 3: Cross multiply
    80,496,049x = 125,527,034 × 125,527,034
  4. Step 4: Simplify right side
    80,496,049x = 15,757,036,264,837,156
  5. Step 5: Solve for x
    x = 15,757,036,264,837,156/80,496,049
  6. Step 6: Final answer
    x = 195,749,188.45

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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.