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Finding the Third Proportional to 238,026,159 and 367,811,124.75

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Solution

The third proportional to 238,026,159 and 367,811,124.75 is: 568,361,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,026,159 : 367,811,124.75 = 367,811,124.75 : x
  2. Step 2: Convert to fraction form
    238,026,159/367,811,124.75 = 367,811,124.75/x
  3. Step 3: Cross multiply
    238,026,159x = 367,811,124.75 × 367,811,124.75
  4. Step 4: Simplify right side
    238,026,159x = 135,285,023,489,860,064
  5. Step 5: Solve for x
    x = 135,285,023,489,860,064/238,026,159
  6. Step 6: Final answer
    x = 568,361,998.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.