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Finding the Third Proportional to 184,725,553 and 398,739,410

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Solution

The third proportional to 184,725,553 and 398,739,410 is: 860,699,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,725,553 : 398,739,410 = 398,739,410 : x
  2. Step 2: Convert to fraction form
    184,725,553/398,739,410 = 398,739,410/x
  3. Step 3: Cross multiply
    184,725,553x = 398,739,410 × 398,739,410
  4. Step 4: Simplify right side
    184,725,553x = 158,993,117,087,148,096
  5. Step 5: Solve for x
    x = 158,993,117,087,148,096/184,725,553
  6. Step 6: Final answer
    x = 860,699,099.31

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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.