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Finding the Third Proportional to 205,959,362 and 310,854,348

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Solution

The third proportional to 205,959,362 and 310,854,348 is: 469,172,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959,362 : 310,854,348 = 310,854,348 : x
  2. Step 2: Convert to fraction form
    205,959,362/310,854,348 = 310,854,348/x
  3. Step 3: Cross multiply
    205,959,362x = 310,854,348 × 310,854,348
  4. Step 4: Simplify right side
    205,959,362x = 96,630,425,670,505,104
  5. Step 5: Solve for x
    x = 96,630,425,670,505,104/205,959,362
  6. Step 6: Final answer
    x = 469,172,290.75

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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.