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Finding the Third Proportional to 133,668,166 and 212,692,327

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Solution

The third proportional to 133,668,166 and 212,692,327 is: 338,435,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,668,166 : 212,692,327 = 212,692,327 : x
  2. Step 2: Convert to fraction form
    133,668,166/212,692,327 = 212,692,327/x
  3. Step 3: Cross multiply
    133,668,166x = 212,692,327 × 212,692,327
  4. Step 4: Simplify right side
    133,668,166x = 45,238,025,964,674,928
  5. Step 5: Solve for x
    x = 45,238,025,964,674,928/133,668,166
  6. Step 6: Final answer
    x = 338,435,300.78

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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.