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Finding the Third Proportional to 205,959,102 and 310,853,992

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Solution

The third proportional to 205,959,102 and 310,853,992 is: 469,171,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959,102 : 310,853,992 = 310,853,992 : x
  2. Step 2: Convert to fraction form
    205,959,102/310,853,992 = 310,853,992/x
  3. Step 3: Cross multiply
    205,959,102x = 310,853,992 × 310,853,992
  4. Step 4: Simplify right side
    205,959,102x = 96,630,204,342,336,064
  5. Step 5: Solve for x
    x = 96,630,204,342,336,064/205,959,102
  6. Step 6: Final answer
    x = 469,171,808.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.