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Finding the Third Proportional to 265,910,619 and 408,471,268.50

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Solution

The third proportional to 265,910,619 and 408,471,268.50 is: 627,461,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,910,619 : 408,471,268.50 = 408,471,268.50 : x
  2. Step 2: Convert to fraction form
    265,910,619/408,471,268.50 = 408,471,268.50/x
  3. Step 3: Cross multiply
    265,910,619x = 408,471,268.50 × 408,471,268.50
  4. Step 4: Simplify right side
    265,910,619x = 166,848,777,189,999,104
  5. Step 5: Solve for x
    x = 166,848,777,189,999,104/265,910,619
  6. Step 6: Final answer
    x = 627,461,881.05

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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.