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Finding the Third Proportional to 184,725,549 and 398,739,402

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Solution

The third proportional to 184,725,549 and 398,739,402 is: 860,699,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,725,549 : 398,739,402 = 398,739,402 : x
  2. Step 2: Convert to fraction form
    184,725,549/398,739,402 = 398,739,402/x
  3. Step 3: Cross multiply
    184,725,549x = 398,739,402 × 398,739,402
  4. Step 4: Simplify right side
    184,725,549x = 158,993,110,707,317,600
  5. Step 5: Solve for x
    x = 158,993,110,707,317,600/184,725,549
  6. Step 6: Final answer
    x = 860,699,083.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.