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Finding the Third Proportional to 232,959,643.73 and 517,633,009.73

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Solution

The third proportional to 232,959,643.73 and 517,633,009.73 is: 1,150,173,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,959,643.73 : 517,633,009.73 = 517,633,009.73 : x
  2. Step 2: Convert to fraction form
    232,959,643.73/517,633,009.73 = 517,633,009.73/x
  3. Step 3: Cross multiply
    232,959,643.73x = 517,633,009.73 × 517,633,009.73
  4. Step 4: Simplify right side
    232,959,643.73x = 267,943,932,766,693,408
  5. Step 5: Solve for x
    x = 267,943,932,766,693,408/232,959,643.73
  6. Step 6: Final answer
    x = 1,150,173,173.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.