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Finding the Third Proportional to 232,722,718.50 and 347,065,939.50

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Solution

The third proportional to 232,722,718.50 and 347,065,939.50 is: 517,589,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,722,718.50 : 347,065,939.50 = 347,065,939.50 : x
  2. Step 2: Convert to fraction form
    232,722,718.50/347,065,939.50 = 347,065,939.50/x
  3. Step 3: Cross multiply
    232,722,718.50x = 347,065,939.50 × 347,065,939.50
  4. Step 4: Simplify right side
    232,722,718.50x = 120,454,766,361,017,664
  5. Step 5: Solve for x
    x = 120,454,766,361,017,664/232,722,718.50
  6. Step 6: Final answer
    x = 517,589,202.88

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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.