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Finding the Third Proportional to 108,171,522 and 255,096,225

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Solution

The third proportional to 108,171,522 and 255,096,225 is: 601,582,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,171,522 : 255,096,225 = 255,096,225 : x
  2. Step 2: Convert to fraction form
    108,171,522/255,096,225 = 255,096,225/x
  3. Step 3: Cross multiply
    108,171,522x = 255,096,225 × 255,096,225
  4. Step 4: Simplify right side
    108,171,522x = 65,074,084,009,250,624
  5. Step 5: Solve for x
    x = 65,074,084,009,250,624/108,171,522
  6. Step 6: Final answer
    x = 601,582,401.78

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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.