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Finding the Third Proportional to 243,848,184 and 371,489,016

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Solution

The third proportional to 243,848,184 and 371,489,016 is: 565,942,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,848,184 : 371,489,016 = 371,489,016 : x
  2. Step 2: Convert to fraction form
    243,848,184/371,489,016 = 371,489,016/x
  3. Step 3: Cross multiply
    243,848,184x = 371,489,016 × 371,489,016
  4. Step 4: Simplify right side
    243,848,184x = 138,004,089,008,648,256
  5. Step 5: Solve for x
    x = 138,004,089,008,648,256/243,848,184
  6. Step 6: Final answer
    x = 565,942,656.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.