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Finding the Third Proportional to 185,259,099 and 394,478,646

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Solution

The third proportional to 185,259,099 and 394,478,646 is: 839,977,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,259,099 : 394,478,646 = 394,478,646 : x
  2. Step 2: Convert to fraction form
    185,259,099/394,478,646 = 394,478,646/x
  3. Step 3: Cross multiply
    185,259,099x = 394,478,646 × 394,478,646
  4. Step 4: Simplify right side
    185,259,099x = 155,613,402,149,993,312
  5. Step 5: Solve for x
    x = 155,613,402,149,993,312/185,259,099
  6. Step 6: Final answer
    x = 839,977,107.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.