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Finding the Third Proportional to 80,800,202 and 125,368,563

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Solution

The third proportional to 80,800,202 and 125,368,563 is: 194,520,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,800,202 : 125,368,563 = 125,368,563 : x
  2. Step 2: Convert to fraction form
    80,800,202/125,368,563 = 125,368,563/x
  3. Step 3: Cross multiply
    80,800,202x = 125,368,563 × 125,368,563
  4. Step 4: Simplify right side
    80,800,202x = 15,717,276,588,684,968
  5. Step 5: Solve for x
    x = 15,717,276,588,684,968/80,800,202
  6. Step 6: Final answer
    x = 194,520,263.56

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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.