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Finding the Third Proportional to 85,812,816 and 187,668,096

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Solution

The third proportional to 85,812,816 and 187,668,096 is: 410,420,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,812,816 : 187,668,096 = 187,668,096 : x
  2. Step 2: Convert to fraction form
    85,812,816/187,668,096 = 187,668,096/x
  3. Step 3: Cross multiply
    85,812,816x = 187,668,096 × 187,668,096
  4. Step 4: Simplify right side
    85,812,816x = 35,219,314,256,265,216
  5. Step 5: Solve for x
    x = 35,219,314,256,265,216/85,812,816
  6. Step 6: Final answer
    x = 410,420,213.41

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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.