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Finding the Third Proportional to 184,239,999,846 and 283,064,397,201

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Solution

The third proportional to 184,239,999,846 and 283,064,397,201 is: 434,897,161,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,239,999,846 : 283,064,397,201 = 283,064,397,201 : x
  2. Step 2: Convert to fraction form
    184,239,999,846/283,064,397,201 = 283,064,397,201/x
  3. Step 3: Cross multiply
    184,239,999,846x = 283,064,397,201 × 283,064,397,201
  4. Step 4: Simplify right side
    184,239,999,846x = 80,125,452,962,765,501,104,128
  5. Step 5: Solve for x
    x = 80,125,452,962,765,501,104,128/184,239,999,846
  6. Step 6: Final answer
    x = 434,897,161,472.75

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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.