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Finding the Third Proportional to 85,202,817 and 186,624,084

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Solution

The third proportional to 85,202,817 and 186,624,084 is: 408,772,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,202,817 : 186,624,084 = 186,624,084 : x
  2. Step 2: Convert to fraction form
    85,202,817/186,624,084 = 186,624,084/x
  3. Step 3: Cross multiply
    85,202,817x = 186,624,084 × 186,624,084
  4. Step 4: Simplify right side
    85,202,817x = 34,828,548,728,839,056
  5. Step 5: Solve for x
    x = 34,828,548,728,839,056/85,202,817
  6. Step 6: Final answer
    x = 408,772,267.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.