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Finding the Third Proportional to 181,628,937 and 387,474,529.50

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Solution

The third proportional to 181,628,937 and 387,474,529.50 is: 826,611,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,628,937 : 387,474,529.50 = 387,474,529.50 : x
  2. Step 2: Convert to fraction form
    181,628,937/387,474,529.50 = 387,474,529.50/x
  3. Step 3: Cross multiply
    181,628,937x = 387,474,529.50 × 387,474,529.50
  4. Step 4: Simplify right side
    181,628,937x = 150,136,511,011,246,368
  5. Step 5: Solve for x
    x = 150,136,511,011,246,368/181,628,937
  6. Step 6: Final answer
    x = 826,611,185.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.