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Finding the Third Proportional to 107,407,082 and 165,188,325

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Solution

The third proportional to 107,407,082 and 165,188,325 is: 254,053,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407,082 : 165,188,325 = 165,188,325 : x
  2. Step 2: Convert to fraction form
    107,407,082/165,188,325 = 165,188,325/x
  3. Step 3: Cross multiply
    107,407,082x = 165,188,325 × 165,188,325
  4. Step 4: Simplify right side
    107,407,082x = 27,287,182,716,305,624
  5. Step 5: Solve for x
    x = 27,287,182,716,305,624/107,407,082
  6. Step 6: Final answer
    x = 254,053,850.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.