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Finding the Third Proportional to 135,236,148 and 214,314,291

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Solution

The third proportional to 135,236,148 and 214,314,291 is: 339,632,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,236,148 : 214,314,291 = 214,314,291 : x
  2. Step 2: Convert to fraction form
    135,236,148/214,314,291 = 214,314,291/x
  3. Step 3: Cross multiply
    135,236,148x = 214,314,291 × 214,314,291
  4. Step 4: Simplify right side
    135,236,148x = 45,930,615,326,832,680
  5. Step 5: Solve for x
    x = 45,930,615,326,832,680/135,236,148
  6. Step 6: Final answer
    x = 339,632,679.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.