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Finding the Third Proportional to 184,239,999,868 and 283,064,397,234

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Solution

The third proportional to 184,239,999,868 and 283,064,397,234 is: 434,897,161,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,239,999,868 : 283,064,397,234 = 283,064,397,234 : x
  2. Step 2: Convert to fraction form
    184,239,999,868/283,064,397,234 = 283,064,397,234/x
  3. Step 3: Cross multiply
    184,239,999,868x = 283,064,397,234 × 283,064,397,234
  4. Step 4: Simplify right side
    184,239,999,868x = 80,125,452,981,447,753,203,712
  5. Step 5: Solve for x
    x = 80,125,452,981,447,753,203,712/184,239,999,868
  6. Step 6: Final answer
    x = 434,897,161,522.22

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