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Finding the Third Proportional to 108,171,576 and 255,096,366

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Solution

The third proportional to 108,171,576 and 255,096,366 is: 601,582,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,171,576 : 255,096,366 = 255,096,366 : x
  2. Step 2: Convert to fraction form
    108,171,576/255,096,366 = 255,096,366/x
  3. Step 3: Cross multiply
    108,171,576x = 255,096,366 × 255,096,366
  4. Step 4: Simplify right side
    108,171,576x = 65,074,155,946,405,952
  5. Step 5: Solve for x
    x = 65,074,155,946,405,952/108,171,576
  6. Step 6: Final answer
    x = 601,582,766.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.