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Finding the Third Proportional to 133,668,162 and 212,692,321

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Solution

The third proportional to 133,668,162 and 212,692,321 is: 338,435,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,668,162 : 212,692,321 = 212,692,321 : x
  2. Step 2: Convert to fraction form
    133,668,162/212,692,321 = 212,692,321/x
  3. Step 3: Cross multiply
    133,668,162x = 212,692,321 × 212,692,321
  4. Step 4: Simplify right side
    133,668,162x = 45,238,023,412,367,040
  5. Step 5: Solve for x
    x = 45,238,023,412,367,040/133,668,162
  6. Step 6: Final answer
    x = 338,435,291.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.