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Finding the Third Proportional to 140,379,392.25 and 218,514,233.25

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Solution

The third proportional to 140,379,392.25 and 218,514,233.25 is: 340,138,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,379,392.25 : 218,514,233.25 = 218,514,233.25 : x
  2. Step 2: Convert to fraction form
    140,379,392.25/218,514,233.25 = 218,514,233.25/x
  3. Step 3: Cross multiply
    140,379,392.25x = 218,514,233.25 × 218,514,233.25
  4. Step 4: Simplify right side
    140,379,392.25x = 47,748,470,132,835,408
  5. Step 5: Solve for x
    x = 47,748,470,132,835,408/140,379,392.25
  6. Step 6: Final answer
    x = 340,138,743.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.