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Finding the Third Proportional to 205,959,159 and 310,854,049

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Solution

The third proportional to 205,959,159 and 310,854,049 is: 469,171,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959,159 : 310,854,049 = 310,854,049 : x
  2. Step 2: Convert to fraction form
    205,959,159/310,854,049 = 310,854,049/x
  3. Step 3: Cross multiply
    205,959,159x = 310,854,049 × 310,854,049
  4. Step 4: Simplify right side
    205,959,159x = 96,630,239,779,694,400
  5. Step 5: Solve for x
    x = 96,630,239,779,694,400/205,959,159
  6. Step 6: Final answer
    x = 469,171,850.62

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Why These Related Problems?

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