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Finding the Third Proportional to 232,722,760 and 347,065,986

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Solution

The third proportional to 232,722,760 and 347,065,986 is: 517,589,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,722,760 : 347,065,986 = 347,065,986 : x
  2. Step 2: Convert to fraction form
    232,722,760/347,065,986 = 347,065,986/x
  3. Step 3: Cross multiply
    232,722,760x = 347,065,986 × 347,065,986
  4. Step 4: Simplify right side
    232,722,760x = 120,454,798,638,152,192
  5. Step 5: Solve for x
    x = 120,454,798,638,152,192/232,722,760
  6. Step 6: Final answer
    x = 517,589,249.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.