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Finding the Third Proportional to 85,202,823 and 186,624,096

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Solution

The third proportional to 85,202,823 and 186,624,096 is: 408,772,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,202,823 : 186,624,096 = 186,624,096 : x
  2. Step 2: Convert to fraction form
    85,202,823/186,624,096 = 186,624,096/x
  3. Step 3: Cross multiply
    85,202,823x = 186,624,096 × 186,624,096
  4. Step 4: Simplify right side
    85,202,823x = 34,828,553,207,817,216
  5. Step 5: Solve for x
    x = 34,828,553,207,817,216/85,202,823
  6. Step 6: Final answer
    x = 408,772,291.59

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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.