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Finding the Third Proportional to 184,090,284 and 409,043,529

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Solution

The third proportional to 184,090,284 and 409,043,529 is: 908,883,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,090,284 : 409,043,529 = 409,043,529 : x
  2. Step 2: Convert to fraction form
    184,090,284/409,043,529 = 409,043,529/x
  3. Step 3: Cross multiply
    184,090,284x = 409,043,529 × 409,043,529
  4. Step 4: Simplify right side
    184,090,284x = 167,316,608,616,773,856
  5. Step 5: Solve for x
    x = 167,316,608,616,773,856/184,090,284
  6. Step 6: Final answer
    x = 908,883,429.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.