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Finding the Third Proportional to 158,112,150 and 236,238,203

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Solution

The third proportional to 158,112,150 and 236,238,203 is: 352,967,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,112,150 : 236,238,203 = 236,238,203 : x
  2. Step 2: Convert to fraction form
    158,112,150/236,238,203 = 236,238,203/x
  3. Step 3: Cross multiply
    158,112,150x = 236,238,203 × 236,238,203
  4. Step 4: Simplify right side
    158,112,150x = 55,808,488,556,669,208
  5. Step 5: Solve for x
    x = 55,808,488,556,669,208/158,112,150
  6. Step 6: Final answer
    x = 352,967,741.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.