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Finding the Third Proportional to 107,407,002 and 165,188,205

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Solution

The third proportional to 107,407,002 and 165,188,205 is: 254,053,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407,002 : 165,188,205 = 165,188,205 : x
  2. Step 2: Convert to fraction form
    107,407,002/165,188,205 = 165,188,205/x
  3. Step 3: Cross multiply
    107,407,002x = 165,188,205 × 165,188,205
  4. Step 4: Simplify right side
    107,407,002x = 27,287,143,071,122,024
  5. Step 5: Solve for x
    x = 27,287,143,071,122,024/107,407,002
  6. Step 6: Final answer
    x = 254,053,670.27

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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.