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Finding the Third Proportional to 153,994,678,809 and 226,379,009,238.75

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Solution

The third proportional to 153,994,678,809 and 226,379,009,238.75 is: 332,787,186,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994,678,809 : 226,379,009,238.75 = 226,379,009,238.75 : x
  2. Step 2: Convert to fraction form
    153,994,678,809/226,379,009,238.75 = 226,379,009,238.75/x
  3. Step 3: Cross multiply
    153,994,678,809x = 226,379,009,238.75 × 226,379,009,238.75
  4. Step 4: Simplify right side
    153,994,678,809x = 51,247,455,823,918,060,797,952
  5. Step 5: Solve for x
    x = 51,247,455,823,918,060,797,952/153,994,678,809
  6. Step 6: Final answer
    x = 332,787,186,026.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.