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Finding the Third Proportional to 81,770,522 and 180,133,084

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Solution

The third proportional to 81,770,522 and 180,133,084 is: 396,816,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,770,522 : 180,133,084 = 180,133,084 : x
  2. Step 2: Convert to fraction form
    81,770,522/180,133,084 = 180,133,084/x
  3. Step 3: Cross multiply
    81,770,522x = 180,133,084 × 180,133,084
  4. Step 4: Simplify right side
    81,770,522x = 32,447,927,951,351,056
  5. Step 5: Solve for x
    x = 32,447,927,951,351,056/81,770,522
  6. Step 6: Final answer
    x = 396,816,935.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.