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Finding the Third Proportional to 188,744,760,640.70 and 414,031,479,175.30

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Solution

The third proportional to 188,744,760,640.70 and 414,031,479,175.30 is: 908,221,585,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,744,760,640.70 : 414,031,479,175.30 = 414,031,479,175.30 : x
  2. Step 2: Convert to fraction form
    188,744,760,640.70/414,031,479,175.30 = 414,031,479,175.30/x
  3. Step 3: Cross multiply
    188,744,760,640.70x = 414,031,479,175.30 × 414,031,479,175.30
  4. Step 4: Simplify right side
    188,744,760,640.70x = 171,422,065,748,086,865,526,784
  5. Step 5: Solve for x
    x = 171,422,065,748,086,865,526,784/188,744,760,640.70
  6. Step 6: Final answer
    x = 908,221,585,416.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.