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Finding the Third Proportional to 80,201,662 and 171,913,880

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Solution

The third proportional to 80,201,662 and 171,913,880 is: 368,500,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,201,662 : 171,913,880 = 171,913,880 : x
  2. Step 2: Convert to fraction form
    80,201,662/171,913,880 = 171,913,880/x
  3. Step 3: Cross multiply
    80,201,662x = 171,913,880 × 171,913,880
  4. Step 4: Simplify right side
    80,201,662x = 29,554,382,136,654,400
  5. Step 5: Solve for x
    x = 29,554,382,136,654,400/80,201,662
  6. Step 6: Final answer
    x = 368,500,868.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.