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Finding the Third Proportional to 121,274,070.75 and 262,978,822.13

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Solution

The third proportional to 121,274,070.75 and 262,978,822.13 is: 570,260,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,274,070.75 : 262,978,822.13 = 262,978,822.13 : x
  2. Step 2: Convert to fraction form
    121,274,070.75/262,978,822.13 = 262,978,822.13/x
  3. Step 3: Cross multiply
    121,274,070.75x = 262,978,822.13 × 262,978,822.13
  4. Step 4: Simplify right side
    121,274,070.75x = 69,157,860,886,252,392
  5. Step 5: Solve for x
    x = 69,157,860,886,252,392/121,274,070.75
  6. Step 6: Final answer
    x = 570,260,901.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.