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Finding the Third Proportional to 80,965,719 and 176,307,318

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Solution

The third proportional to 80,965,719 and 176,307,318 is: 383,918,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,965,719 : 176,307,318 = 176,307,318 : x
  2. Step 2: Convert to fraction form
    80,965,719/176,307,318 = 176,307,318/x
  3. Step 3: Cross multiply
    80,965,719x = 176,307,318 × 176,307,318
  4. Step 4: Simplify right side
    80,965,719x = 31,084,270,380,353,124
  5. Step 5: Solve for x
    x = 31,084,270,380,353,124/80,965,719
  6. Step 6: Final answer
    x = 383,918,907.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.