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Finding the Third Proportional to 77,534,256 and 121,645,104

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Solution

The third proportional to 77,534,256 and 121,645,104 is: 190,851,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,534,256 : 121,645,104 = 121,645,104 : x
  2. Step 2: Convert to fraction form
    77,534,256/121,645,104 = 121,645,104/x
  3. Step 3: Cross multiply
    77,534,256x = 121,645,104 × 121,645,104
  4. Step 4: Simplify right side
    77,534,256x = 14,797,531,327,170,816
  5. Step 5: Solve for x
    x = 14,797,531,327,170,816/77,534,256
  6. Step 6: Final answer
    x = 190,851,529.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.