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Finding the Third Proportional to 181,917,679.50 and 279,902,785.50

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Solution

The third proportional to 181,917,679.50 and 279,902,785.50 is: 430,664,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,917,679.50 : 279,902,785.50 = 279,902,785.50 : x
  2. Step 2: Convert to fraction form
    181,917,679.50/279,902,785.50 = 279,902,785.50/x
  3. Step 3: Cross multiply
    181,917,679.50x = 279,902,785.50 × 279,902,785.50
  4. Step 4: Simplify right side
    181,917,679.50x = 78,345,569,330,659,008
  5. Step 5: Solve for x
    x = 78,345,569,330,659,008/181,917,679.50
  6. Step 6: Final answer
    x = 430,664,955.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.