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Finding the Third Proportional to 205,959,157 and 310,854,046

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Solution

The third proportional to 205,959,157 and 310,854,046 is: 469,171,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959,157 : 310,854,046 = 310,854,046 : x
  2. Step 2: Convert to fraction form
    205,959,157/310,854,046 = 310,854,046/x
  3. Step 3: Cross multiply
    205,959,157x = 310,854,046 × 310,854,046
  4. Step 4: Simplify right side
    205,959,157x = 96,630,237,914,570,112
  5. Step 5: Solve for x
    x = 96,630,237,914,570,112/205,959,157
  6. Step 6: Final answer
    x = 469,171,846.12

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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.