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Finding the Third Proportional to 133,184,229,929 and 310,773,942,740

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Solution

The third proportional to 133,184,229,929 and 310,773,942,740 is: 725,164,259,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,184,229,929 : 310,773,942,740 = 310,773,942,740 : x
  2. Step 2: Convert to fraction form
    133,184,229,929/310,773,942,740 = 310,773,942,740/x
  3. Step 3: Cross multiply
    133,184,229,929x = 310,773,942,740 × 310,773,942,740
  4. Step 4: Simplify right side
    133,184,229,929x = 96,580,443,486,164,795,523,072
  5. Step 5: Solve for x
    x = 96,580,443,486,164,795,523,072/133,184,229,929
  6. Step 6: Final answer
    x = 725,164,259,594.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.