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Finding the Third Proportional to 108,171,580 and 255,096,376

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Solution

The third proportional to 108,171,580 and 255,096,376 is: 601,582,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,171,580 : 255,096,376 = 255,096,376 : x
  2. Step 2: Convert to fraction form
    108,171,580/255,096,376 = 255,096,376/x
  3. Step 3: Cross multiply
    108,171,580x = 255,096,376 × 255,096,376
  4. Step 4: Simplify right side
    108,171,580x = 65,074,161,048,333,376
  5. Step 5: Solve for x
    x = 65,074,161,048,333,376/108,171,580
  6. Step 6: Final answer
    x = 601,582,791.42

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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.