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Finding the Third Proportional to 133,668,106 and 212,692,238

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Solution

The third proportional to 133,668,106 and 212,692,238 is: 338,435,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,668,106 : 212,692,238 = 212,692,238 : x
  2. Step 2: Convert to fraction form
    133,668,106/212,692,238 = 212,692,238/x
  3. Step 3: Cross multiply
    133,668,106x = 212,692,238 × 212,692,238
  4. Step 4: Simplify right side
    133,668,106x = 45,237,988,105,448,640
  5. Step 5: Solve for x
    x = 45,237,988,105,448,640/133,668,106
  6. Step 6: Final answer
    x = 338,435,169.46

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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.