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Finding the Third Proportional to 184,239,999,848 and 283,064,397,204

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Solution

The third proportional to 184,239,999,848 and 283,064,397,204 is: 434,897,161,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,239,999,848 : 283,064,397,204 = 283,064,397,204 : x
  2. Step 2: Convert to fraction form
    184,239,999,848/283,064,397,204 = 283,064,397,204/x
  3. Step 3: Cross multiply
    184,239,999,848x = 283,064,397,204 × 283,064,397,204
  4. Step 4: Simplify right side
    184,239,999,848x = 80,125,452,964,463,875,457,024
  5. Step 5: Solve for x
    x = 80,125,452,964,463,875,457,024/184,239,999,848
  6. Step 6: Final answer
    x = 434,897,161,477.25

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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.