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Finding the Third Proportional to 107,407,026 and 165,188,241

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Solution

The third proportional to 107,407,026 and 165,188,241 is: 254,053,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407,026 : 165,188,241 = 165,188,241 : x
  2. Step 2: Convert to fraction form
    107,407,026/165,188,241 = 165,188,241/x
  3. Step 3: Cross multiply
    107,407,026x = 165,188,241 × 165,188,241
  4. Step 4: Simplify right side
    107,407,026x = 27,287,154,964,674,080
  5. Step 5: Solve for x
    x = 27,287,154,964,674,080/107,407,026
  6. Step 6: Final answer
    x = 254,053,724.24

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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.