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Finding the Third Proportional to 136,066,743 and 210,115,188

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Solution

The third proportional to 136,066,743 and 210,115,188 is: 324,461,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,066,743 : 210,115,188 = 210,115,188 : x
  2. Step 2: Convert to fraction form
    136,066,743/210,115,188 = 210,115,188/x
  3. Step 3: Cross multiply
    136,066,743x = 210,115,188 × 210,115,188
  4. Step 4: Simplify right side
    136,066,743x = 44,148,392,228,275,344
  5. Step 5: Solve for x
    x = 44,148,392,228,275,344/136,066,743
  6. Step 6: Final answer
    x = 324,461,299.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.