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Finding the Third Proportional to 232,722,864 and 347,066,150.63

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Solution

The third proportional to 232,722,864 and 347,066,150.63 is: 517,589,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,722,864 : 347,066,150.63 = 347,066,150.63 : x
  2. Step 2: Convert to fraction form
    232,722,864/347,066,150.63 = 347,066,150.63/x
  3. Step 3: Cross multiply
    232,722,864x = 347,066,150.63 × 347,066,150.63
  4. Step 4: Simplify right side
    232,722,864x = 120,454,912,909,655,184
  5. Step 5: Solve for x
    x = 120,454,912,909,655,184/232,722,864
  6. Step 6: Final answer
    x = 517,589,508.99

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