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Finding the Third Proportional to 126,417,159,928 and 182,650,964,268

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Solution

The third proportional to 126,417,159,928 and 182,650,964,268 is: 263,899,100,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,417,159,928 : 182,650,964,268 = 182,650,964,268 : x
  2. Step 2: Convert to fraction form
    126,417,159,928/182,650,964,268 = 182,650,964,268/x
  3. Step 3: Cross multiply
    126,417,159,928x = 182,650,964,268 × 182,650,964,268
  4. Step 4: Simplify right side
    126,417,159,928x = 33,361,374,748,030,212,767,744
  5. Step 5: Solve for x
    x = 33,361,374,748,030,212,767,744/126,417,159,928
  6. Step 6: Final answer
    x = 263,899,100,146.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.