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Finding the Third Proportional to 153,994,678,801 and 226,379,009,229

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Solution

The third proportional to 153,994,678,801 and 226,379,009,229 is: 332,787,186,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994,678,801 : 226,379,009,229 = 226,379,009,229 : x
  2. Step 2: Convert to fraction form
    153,994,678,801/226,379,009,229 = 226,379,009,229/x
  3. Step 3: Cross multiply
    153,994,678,801x = 226,379,009,229 × 226,379,009,229
  4. Step 4: Simplify right side
    153,994,678,801x = 51,247,455,819,503,664,889,856
  5. Step 5: Solve for x
    x = 51,247,455,819,503,664,889,856/153,994,678,801
  6. Step 6: Final answer
    x = 332,787,186,015.23

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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.