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Finding the Third Proportional to 127,981,016 and 206,091,588

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Solution

The third proportional to 127,981,016 and 206,091,588 is: 331,875,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,981,016 : 206,091,588 = 206,091,588 : x
  2. Step 2: Convert to fraction form
    127,981,016/206,091,588 = 206,091,588/x
  3. Step 3: Cross multiply
    127,981,016x = 206,091,588 × 206,091,588
  4. Step 4: Simplify right side
    127,981,016x = 42,473,742,644,361,744
  5. Step 5: Solve for x
    x = 42,473,742,644,361,744/127,981,016
  6. Step 6: Final answer
    x = 331,875,335.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.