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Finding the Third Proportional to 121,454,205 and 262,261,577

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Solution

The third proportional to 121,454,205 and 262,261,577 is: 566,313,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,454,205 : 262,261,577 = 262,261,577 : x
  2. Step 2: Convert to fraction form
    121,454,205/262,261,577 = 262,261,577/x
  3. Step 3: Cross multiply
    121,454,205x = 262,261,577 × 262,261,577
  4. Step 4: Simplify right side
    121,454,205x = 68,781,134,770,526,928
  5. Step 5: Solve for x
    x = 68,781,134,770,526,928/121,454,205
  6. Step 6: Final answer
    x = 566,313,325.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.