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Finding the Third Proportional to 191,786,778 and 414,218,259

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Solution

The third proportional to 191,786,778 and 414,218,259 is: 894,622,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,786,778 : 414,218,259 = 414,218,259 : x
  2. Step 2: Convert to fraction form
    191,786,778/414,218,259 = 414,218,259/x
  3. Step 3: Cross multiply
    191,786,778x = 414,218,259 × 414,218,259
  4. Step 4: Simplify right side
    191,786,778x = 171,576,766,088,991,072
  5. Step 5: Solve for x
    x = 171,576,766,088,991,072/191,786,778
  6. Step 6: Final answer
    x = 894,622,496.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.