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Finding the Third Proportional to 84,625,355 and 184,274,217

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Solution

The third proportional to 84,625,355 and 184,274,217 is: 401,262,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,625,355 : 184,274,217 = 184,274,217 : x
  2. Step 2: Convert to fraction form
    84,625,355/184,274,217 = 184,274,217/x
  3. Step 3: Cross multiply
    84,625,355x = 184,274,217 × 184,274,217
  4. Step 4: Simplify right side
    84,625,355x = 33,956,987,050,963,088
  5. Step 5: Solve for x
    x = 33,956,987,050,963,088/84,625,355
  6. Step 6: Final answer
    x = 401,262,565.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.