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Finding the Third Proportional to 138,436,131.38 and 214,286,456.81

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Solution

The third proportional to 138,436,131.38 and 214,286,456.81 is: 331,695,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,436,131.38 : 214,286,456.81 = 214,286,456.81 : x
  2. Step 2: Convert to fraction form
    138,436,131.38/214,286,456.81 = 214,286,456.81/x
  3. Step 3: Cross multiply
    138,436,131.38x = 214,286,456.81 × 214,286,456.81
  4. Step 4: Simplify right side
    138,436,131.38x = 45,918,685,573,255,424
  5. Step 5: Solve for x
    x = 45,918,685,573,255,424/138,436,131.38
  6. Step 6: Final answer
    x = 331,695,816.09

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